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231363666363132 = 223367101894135407
BaseRepresentation
bin110100100110110010001101…
…001001011100001011111100
31010100012011001201011121202000
4310212302031021130023330
5220311130242042110012
62140023000115302300
766506321222603442
oct6446621511341374
91110164051147660
10231363666363132
11677a0864029526
1221b479b38aa990
139c136669c9b84
14411c0bdd14b92
151bb3477310ddc
hexd26c8d25c2fc

231363666363132 has 192 divisors, whose sum is σ = 614898137978880. Its totient is φ = 75207442464000.

The previous prime is 231363666363127. The next prime is 231363666363187.

231363666363132 is nontrivially palindromic in base 10.

231363666363132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313636663631322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6534386973 + ... + 6534422379.

It is an arithmetic number, because the mean of its divisors is an integer number (3202594468640).

Almost surely, 2231363666363132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231363666363132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307449068989440).

231363666363132 is an abundant number, since it is smaller than the sum of its proper divisors (383534471615748).

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

231363666363132 is a wasteful number, since it uses less digits than its factorization.

231363666363132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44529 (or 44521 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 54.

The spelling of 231363666363132 in words is "two hundred thirty-one trillion, three hundred sixty-three billion, six hundred sixty-six million, three hundred sixty-three thousand, one hundred thirty-two".