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113257014975 = 325213197128703
BaseRepresentation
bin110100101111010100…
…1001110011010111111
3101211100002001110222100
41221132221032122333
53323422243434400
6124010214520143
711116420512636
oct1513651163277
9354302043870
10113257014975
11440396a5725
1219b49666053
13a8ac20bac0
1456a59b051d
152e2d009100
hex1a5ea4e6bf

113257014975 has 144 divisors (see below), whose sum is σ = 233205073920. Its totient is φ = 52076908800.

The previous prime is 113257014971. The next prime is 113257015009. The reversal of 113257014975 is 579410752311.

113257014975 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 570 + 1 + 4 + 9 + 75 = 666.

It is not a de Polignac number, because 113257014975 - 22 = 113257014971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 113257014975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113257014971) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3931474 + ... + 3960176.

It is an arithmetic number, because the mean of its divisors is an integer number (1619479680).

Almost surely, 2113257014975 is an apocalyptic number.

113257014975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113257014975 is an abundant number, since it is smaller than the sum of its proper divisors (119948058945).

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

113257014975 is a wasteful number, since it uses less digits than its factorization.

113257014975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28822 (or 28814 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 113257014975 in words is "one hundred thirteen billion, two hundred fifty-seven million, fourteen thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 71 75 95 117 171 195 213 225 247 285 325 355 475 585 639 741 855 923 975 1065 1235 1349 1425 1775 2223 2769 2925 3195 3705 4047 4275 4615 5325 6175 6745 8307 11115 12141 13845 15975 17537 18525 20235 23075 28703 33725 41535 52611 55575 60705 69225 86109 87685 101175 143515 157833 207675 258327 263055 303525 373139 430545 438425 545357 717575 789165 1119417 1291635 1315275 1636071 1865695 2037913 2152725 2726785 3358251 3945825 4908213 5597085 6113739 6458175 7089641 8180355 9328475 10189565 13633925 16791255 18341217 21268923 24541065 26492869 27985425 30568695 35448205 38720347 40901775 50947825 63806769 79478607 83956275 91706085 106344615 116161041 122705325 132464345 152843475 177241025 193601735 238435821 319033845 348483123 397393035 458530425 503364511 531723075 580805205 662321725 968008675 1192179105 1510093533 1595169225 1742415615 1986965175 2516822555 2904026025 4530280599 5960895525 7550467665 8712078075 12584112775 22651402995 37752338325 113257014975