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420113234420 = 2251131607101483
BaseRepresentation
bin1100001110100001011…
…00110011100111110100
31111011101102011112122222
412013100230303213310
523340342442000140
6520555232341512
742231540400265
oct6072054634764
91434342145588
10420113234420
11152194a72090
12695070a4898
1330802611599
141649552296c
15addc5805b5
hex61d0b339f4

420113234420 has 96 divisors (see below), whose sum is σ = 995134242816. Its totient is φ = 147595420800.

The previous prime is 420113234399. The next prime is 420113234459. The reversal of 420113234420 is 24432311024.

It is a self number, because there is not a number n which added to its sum of digits gives 420113234420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4088999 + ... + 4190481.

It is an arithmetic number, because the mean of its divisors is an integer number (10365981696).

Almost surely, 2420113234420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420113234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497567121408).

420113234420 is an abundant number, since it is smaller than the sum of its proper divisors (575021008396).

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

420113234420 is a wasteful number, since it uses less digits than its factorization.

420113234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102141 (or 102139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 420113234420 its reverse (24432311024), we get a palindrome (444545545444).

The spelling of 420113234420 in words is "four hundred twenty billion, one hundred thirteen million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 607 620 682 1214 1364 1705 2428 3035 3410 6070 6677 6820 12140 13354 18817 26708 33385 37634 66770 75268 94085 101483 133540 188170 202966 206987 376340 405932 413974 507415 827948 1014830 1034935 1116313 2029660 2069870 2232626 3145973 4139740 4465252 5581565 6291946 11163130 12583892 15729865 22326260 31459730 34605703 61600181 62919460 69211406 123200362 138422812 173028515 246400724 308000905 346057030 616001810 677601991 692114060 1232003620 1355203982 1909605611 2710407964 3388009955 3819211222 6776019910 7638422444 9548028055 13552039820 19096056110 21005661721 38192112220 42011323442 84022646884 105028308605 210056617210 420113234420