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1101212210020 = 2251322319877129
BaseRepresentation
bin10000000001100101010…
…111001101001101100100
310220021102101001102021011
4100001211113031031210
5121020240311210040
62201520115232004
7142363031225356
oct20014527151544
93807371042234
101101212210020
1139502664735a
121595098a8604
137cac7c86200
143b4284950d6
151d9a20ee3ea
hex100655cd364

1101212210020 has 144 divisors (see below), whose sum is σ = 2614673900160. Its totient is φ = 388672846848.

The previous prime is 1101212210003. The next prime is 1101212210029. The reversal of 1101212210020 is 200122121011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1101212210029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154465816 + ... + 154472944.

It is an arithmetic number, because the mean of its divisors is an integer number (18157457640).

Almost surely, 21101212210020 is an apocalyptic number.

1101212210020 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 1101212210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307336950080).

1101212210020 is an abundant number, since it is smaller than the sum of its proper divisors (1513461690140).

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

1101212210020 is a wasteful number, since it uses less digits than its factorization.

1101212210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1101212210020 its reverse (200122121011), we get a palindrome (1301334331031).

The spelling of 1101212210020 in words is "one trillion, one hundred one billion, two hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1495 1690 1987 2990 3380 3887 3974 5980 7129 7774 7948 9935 14258 15548 19435 19870 25831 28516 35645 38870 39740 45701 51662 71290 77740 91402 92677 103324 129155 142580 163967 182804 185354 228505 258310 327934 335803 370708 457010 463385 516620 594113 655868 671606 819835 914020 926770 1188226 1204801 1343212 1639670 1679015 1853540 2131571 2376452 2409602 2970565 3279340 3358030 4263142 4819204 5941130 6024005 6716060 7723469 8526284 10657855 11882260 12048010 14165323 15446938 21315710 24096020 27710423 28330646 30893876 38617345 42631420 55420846 56661292 70826615 77234690 110841692 138552115 141653230 154469380 184149199 277104230 283306460 325802429 368298398 554208460 651604858 736596796 920745995 1303209716 1629012145 1841491990 2393939587 3258024290 3682983980 4235431577 4787879174 6516048580 8470863154 9575758348 11969697935 16941726308 21177157885 23939395870 42354315770 47878791740 55060610501 84708631540 110121221002 220242442004 275303052505 550606105010 1101212210020