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113104110288 = 24313359504893
BaseRepresentation
bin110100101010110000…
…1111100001011010000
3101210221102100010011210
41221111201330023100
53323114123012123
6123543113340120
711112553034451
oct1512541741320
9353842303153
10113104110288
1143a7035a114
1219b06407640
13a886633a60
14568d56b128
152e1e8a3e93
hex1a5587c2d0

113104110288 has 80 divisors (see below), whose sum is σ = 315538554240. Its totient is φ = 34704256512.

The previous prime is 113104110263. The next prime is 113104110289. The reversal of 113104110288 is 882011401311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113104110289) 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 15 ways as a sum of consecutive naturals, for example, 28431 + ... + 476462.

It is an arithmetic number, because the mean of its divisors is an integer number (3944231928).

Almost surely, 2113104110288 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 113104110288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157769277120).

113104110288 is an abundant number, since it is smaller than the sum of its proper divisors (202434443952).

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

113104110288 is a wasteful number, since it uses less digits than its factorization.

113104110288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505276 (or 505270 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 113104110288 its reverse (882011401311), we get a palindrome (995115511599).

The spelling of 113104110288 in words is "one hundred thirteen billion, one hundred four million, one hundred ten thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 359 624 718 1077 1436 2154 2872 4308 4667 5744 8616 9334 14001 17232 18668 28002 37336 56004 74672 112008 224016 504893 1009786 1514679 2019572 3029358 4039144 6058716 6563609 8078288 12117432 13127218 19690827 24234864 26254436 39381654 52508872 78763308 105017744 157526616 181256587 315053232 362513174 543769761 725026348 1087539522 1450052696 2175079044 2356335631 2900105392 4350158088 4712671262 7069006893 8700316176 9425342524 14138013786 18850685048 28276027572 37701370096 56552055144 113104110288