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112135237956 = 223274172672
BaseRepresentation
bin110100001101111000…
…1111111000101000100
3101201102220020022012100
41220123301333011010
53314123110103311
6123303023152100
711046546540000
oct1503361770504
9351386208170
10112135237956
1143613466a85
1219895a45630
13a7609a4c11
1455daa03700
152db47c0a56
hex1a1bc7f144

112135237956 has 405 divisors, whose sum is σ = 356592254109. Its totient is φ = 29703953664.

The previous prime is 112135237919. The next prime is 112135237999. The reversal of 112135237956 is 659732531211.

The square root of 112135237956 is 334866.

It is a perfect power (a square), and thus also a powerful number.

112135237956 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 523 + 79 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87302520900 + 24832717056 = 295470^2 + 157584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1673660235 + ... + 1673660301.

Almost surely, 2112135237956 is an apocalyptic number.

112135237956 is the 334866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112135237956

112135237956 is an abundant number, since it is smaller than the sum of its proper divisors (244457016153).

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

112135237956 is an equidigital number, since it uses as much as digits as its factorization.

112135237956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 96 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The spelling of 112135237956 in words is "one hundred twelve billion, one hundred thirty-five million, two hundred thirty-seven thousand, nine hundred fifty-six".