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231132000331320 = 2335112233580111777
BaseRepresentation
bin110100100011011010011100…
…110001101010011000111000
31010022101000002111122211212120
4310203122130301222120320
5220243331314041100240
62135324324120241240
766453510302042124
oct6443323461523070
91108330074584776
10231132000331320
1167711592651a00
1221b0ab1b310220
139bc786710058a
144110bc4426584
151bac418d6dad0
hexd2369cc6a638

231132000331320 has 384 divisors, whose sum is σ = 765630584147520. Its totient is φ = 55777165312000.

The previous prime is 231132000331283. The next prime is 231132000331321. The reversal of 231132000331320 is 23133000231132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231132000331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19625705272 + ... + 19625717048.

Almost surely, 2231132000331320 is an apocalyptic number.

231132000331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231132000331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382815292073760).

231132000331320 is an abundant number, since it is smaller than the sum of its proper divisors (534498583816200).

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

231132000331320 is a wasteful number, since it uses less digits than its factorization.

231132000331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17847 (or 17832 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 231132000331320 its reverse (23133000231132), we get a palindrome (254265000562452).

The spelling of 231132000331320 in words is "two hundred thirty-one trillion, one hundred thirty-two billion, three hundred thirty-one thousand, three hundred twenty".