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42100113204 = 22341011286521
BaseRepresentation
bin100111001101010111…
…001011111100110100
311000200000210100020000
4213031113023330310
51142210112110304
631201315311300
73020165025552
oct471527137464
9130600710200
1042100113204
1116944464196
1281ab2ab530
133c7c1acab6
142075486bd2
151166072939
hex9cd5cbf34

42100113204 has 60 divisors (see below), whose sum is σ = 111147781668. Its totient is φ = 13894416000.

The previous prime is 42100113203. The next prime is 42100113217. The reversal of 42100113204 is 40231100124.

It can be written as a sum of positive squares in 2 ways, for example, as 31665490704 + 10434622500 = 177948^2 + 102150^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100113203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 610537 + ... + 675984.

Almost surely, 242100113204 is an apocalyptic number.

It is an amenable number.

42100113204 is an abundant number, since it is smaller than the sum of its proper divisors (69047668464).

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

42100113204 is a wasteful number, since it uses less digits than its factorization.

42100113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286638 (or 1286627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42100113204 its reverse (40231100124), we get a palindrome (82331213328).

The spelling of 42100113204 in words is "forty-two billion, one hundred million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 1286521 2573042 3859563 5146084 7719126 11578689 15438252 23157378 34736067 46314756 69472134 104208201 129938621 138944268 208416402 259877242 389815863 416832804 519754484 779631726 1169447589 1559263452 2338895178 3508342767 4677790356 7016685534 10525028301 14033371068 21050056602 42100113204