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113011313155425 = 32521379461387509
BaseRepresentation
bin11001101100100001111111…
…001011010001110101100001
3112211010202221201111220021200
4121230201333023101311201
5104303034132131433200
61040204402555311413
732542540456150236
oct3154417713216541
9484122851456250
10113011313155425
1133010913093aa3
121081242414b569
134b09bc8881669
141dc9ac354378d
15d0ea3c252800
hex66c87f2d1d61

113011313155425 has 72 divisors (see below), whose sum is σ = 203915383546680. Its totient is φ = 59826275097600.

The previous prime is 113011313155399. The next prime is 113011313155441. The reversal of 113011313155425 is 524551313110311.

113011313155425 is a `hidden beast` number, since 1 + 1 + 30 + 11 + 31 + 31 + 554 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3272640849 + 113008040514576 = 57207^2 + 10630524^2 .

It is not a de Polignac number, because 113011313155425 - 212 = 113011313151329 is a prime.

It is a super-2 number, since 2×1130113131554252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113011313155425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291441571 + ... + 291829079.

It is an arithmetic number, because the mean of its divisors is an integer number (2832158104815).

Almost surely, 2113011313155425 is an apocalyptic number.

113011313155425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113011313155425 is a deficient number, since it is larger than the sum of its proper divisors (90904070391255).

113011313155425 is a wasteful number, since it uses less digits than its factorization.

113011313155425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397123 (or 397115 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 113011313155425 its reverse (524551313110311), we get a palindrome (637562626265736).

The spelling of 113011313155425 in words is "one hundred thirteen trillion, eleven billion, three hundred thirteen million, one hundred fifty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 6165 9461 10275 28383 30825 47305 85149 141915 236525 387509 425745 709575 1162527 1296157 1937545 2128725 3487581 3888471 5812635 6480785 9687725 11665413 17437905 19442355 29063175 32403925 53088733 58327065 87189525 97211775 159266199 265443665 291635325 477798597 796330995 1327218325 2388992985 3666222649 3981654975 10998667947 11944964925 18331113245 32996003841 54993339735 91655566225 164980019205 274966698675 502272502913 824900096025 1506817508739 2511362514565 4520452526217 7534087543695 12556812572825 22602262631085 37670437718475 113011313155425