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131123889472356 = 223411215123832
BaseRepresentation
bin11101110100000110101000…
…110110101000001101100100
3122012021022200022022222210000
4131310012220312220031210
5114141313211201103411
61142513252213501300
736422250134456454
oct3564065066501544
9565238608288700
10131123889472356
113886436923a400
1212858831341830
135821c1179b201
14245460432dd64
151025c774a6956
hex7741a8da8364

131123889472356 has 405 divisors, whose sum is σ = 380283479764419. Its totient is φ = 39368311092000.

The previous prime is 131123889472297. The next prime is 131123889472357. The reversal of 131123889472356 is 653274988321131.

The square root of 131123889472356 is 11450934.

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

131123889472356 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 38 + 89 + 472 + 3 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131123889472293 and 131123889472302.

It is not an unprimeable number, because it can be changed into a prime (131123889472357) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 342360024541 + ... + 342360024923.

Almost surely, 2131123889472356 is an apocalyptic number.

131123889472356 is the 11450934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123889472356

131123889472356 is an abundant number, since it is smaller than the sum of its proper divisors (249159590292063).

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

131123889472356 is an equidigital number, since it uses as much as digits as its factorization.

131123889472356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 550 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 131123889472356 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, eight hundred eighty-nine million, four hundred seventy-two thousand, three hundred fifty-six".