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231131031300 = 223252136125309
BaseRepresentation
bin1101011101000001111…
…0111010011100000100
3211002120220210221010200
43113100132322130010
512241324021000200
6254102524050500
722461433231131
oct3272036723404
9732526727120
10231131031300
118a027494844
1238965393a30
1318a45b0b460
14b288825588
15602b513800
hex35d07ba704

231131031300 has 324 divisors, whose sum is σ = 793344808620. Its totient is φ = 55950566400.

The previous prime is 231131031277. The next prime is 231131031301. The reversal of 231131031300 is 3130131132.

It is a happy number.

231131031300 is a `hidden beast` number, since 23 + 1 + 1 + 310 + 31 + 300 = 666.

231131031300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 174174344964 + 56956686336 = 417342^2 + 238656^2 .

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

It is not an unprimeable number, because it can be changed into a prime (231131031301) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 43533046 + ... + 43538354.

Almost surely, 2231131031300 is an apocalyptic number.

231131031300 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 231131031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396672404310).

231131031300 is an abundant number, since it is smaller than the sum of its proper divisors (562213777320).

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

231131031300 is a wasteful number, since it uses less digits than its factorization.

231131031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 231131031300 its reverse (3130131132), we get a palindrome (234261162432).

The spelling of 231131031300 in words is "two hundred thirty-one billion, one hundred thirty-one million, thirty-one thousand, three hundred".