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231312113100 = 22355249119387
BaseRepresentation
bin1101011101101101000…
…1101011110111001100
3211010001112112211200000
43113123101223313030
512242211400104400
6254132513204300
722466062343325
oct3273321536714
9733045484600
10231312113100
118a10a726222
12389b5b60690
1318a744a0853
14b2a48c144c
15603c382600
hex35db46bdcc

231312113100 has 216 divisors, whose sum is σ = 753458317248. Its totient is φ = 61554427200.

The previous prime is 231312113093. The next prime is 231312113173. The reversal of 231312113100 is 1311213132.

231312113100 is a `hidden beast` number, since 2 + 31 + 312 + 11 + 310 + 0 = 666.

It is a super-2 number, since 2×2313121131002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11921607 + ... + 11940993.

Almost surely, 2231312113100 is an apocalyptic number.

231312113100 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 231312113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376729158624).

231312113100 is an abundant number, since it is smaller than the sum of its proper divisors (522146204148).

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

231312113100 is a wasteful number, since it uses less digits than its factorization.

231312113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19907 (or 19888 counting only the distinct ones).

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

Adding to 231312113100 its reverse (1311213132), we get a palindrome (232623326232).

The spelling of 231312113100 in words is "two hundred thirty-one billion, three hundred twelve million, one hundred thirteen thousand, one hundred".