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141211310200020 = 2232543116811561883
BaseRepresentation
bin100000000110111001010001…
…111110111001010011010100
3200111222200002000002100020200
4200012321101332321103110
5122002101230402400040
61220155325204300500
741513115623066154
oct4006712176712324
9614880060070220
10141211310200020
1140aa3420266a85
1213a078460a1730
1360a4228282448
1426c2941992764
15114d36c0dc630
hex806e51fb94d4

141211310200020 has 144 divisors (see below), whose sum is σ = 438340195605312. Its totient is φ = 36777448028160.

The previous prime is 141211310200019. The next prime is 141211310200067. The reversal of 141211310200020 is 20002013112141.

141211310200020 is a `hidden beast` number, since 1 + 412 + 1 + 1 + 31 + 0 + 200 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141211310199966 and 141211310200002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89629999 + ... + 91191881.

It is an arithmetic number, because the mean of its divisors is an integer number (3044029136148).

Almost surely, 2141211310200020 is an apocalyptic number.

141211310200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141211310200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219170097802656).

141211310200020 is an abundant number, since it is smaller than the sum of its proper divisors (297128885405292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141211310200020 is a wasteful number, since it uses less digits than its factorization.

141211310200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573622 (or 1573617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 141211310200020 its reverse (20002013112141), we get a palindrome (161213323312161).

The spelling of 141211310200020 in words is "one hundred forty-one trillion, two hundred eleven billion, three hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 11681 23362 35043 46724 58405 70086 105129 116810 140172 175215 210258 233620 350430 420516 502283 525645 700860 1004566 1051290 1506849 1561883 2009132 2102580 2511415 3013698 3123766 4520547 4685649 5022830 6027396 6247532 7534245 7809415 9041094 9371298 10045660 14056947 15068490 15618830 18082188 18742596 22602735 23428245 28113894 30136980 31237660 45205470 46856490 56227788 67160969 70284735 90410940 93712980 134321938 140569470 201482907 268643876 281138940 335804845 402965814 604448721 671609690 805931628 1007414535 1208897442 1343219380 2014829070 2417794884 3022243605 4029658140 6044487210 12088974420 18244355323 36488710646 54733065969 72977421292 91221776615 109466131938 164199197907 182443553230 218932263876 273665329845 328398395814 364887106460 547330659690 656796791628 784507278889 820995989535 1094661319380 1569014557778 1641991979070 2353521836667 3138029115556 3283983958140 3922536394445 4707043673334 7060565510001 7845072788890 9414087346668 11767609183335 14121131020002 15690145577780 23535218366670 28242262040004 35302827550005 47070436733340 70605655100010 141211310200020