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113211310032 = 24323721248369
BaseRepresentation
bin110100101101111101…
…0110111111111010000
3101211012220001102120200
41221123322313333100
53323324043410112
6124001503135200
711115324154242
oct1513372677720
9354186042520
10113211310032
1144015918947
1219b362a4500
13a8a28c8662
14569d8b4092
152e28ecbcdc
hex1a5beb7fd0

113211310032 has 60 divisors (see below), whose sum is σ = 325397538180. Its totient is φ = 36717179904.

The previous prime is 113211309977. The next prime is 113211310039. The reversal of 113211310032 is 230013112311.

113211310032 is a `hidden beast` number, since 1 + 1 + 321 + 1 + 310 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61571474496 + 51639835536 = 248136^2 + 227244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113211309987 and 113211310014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113211310039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10618857 + ... + 10629512.

It is an arithmetic number, because the mean of its divisors is an integer number (5423292303).

Almost surely, 2113211310032 is an apocalyptic number.

113211310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113211310032 is an abundant number, since it is smaller than the sum of its proper divisors (212186228148).

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

113211310032 is a wasteful number, since it uses less digits than its factorization.

113211310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248420 (or 21248411 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113211310032 its reverse (230013112311), we get a palindrome (343224422343).

The spelling of 113211310032 in words is "one hundred thirteen billion, two hundred eleven million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 21248369 42496738 63745107 84993476 127490214 169986952 191235321 254980428 339973904 382470642 509960856 764941284 786189653 1019921712 1529882568 1572379306 2358568959 3059765136 3144758612 4717137918 6289517224 7075706877 9434275836 12579034448 14151413754 18868551672 28302827508 37737103344 56605655016 113211310032