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12431031300 = 22325273431439
BaseRepresentation
bin10111001001111001…
…00111110000000100
31012002100011211010200
423210330213300010
5200424321000200
65413304050500
7620024010522
oct134474476004
935070154120
1012431031300
1152a9aa1896
1224ab163a30
13123154c62c
1485cd7d312
154cb513800
hex2e4f27c04

12431031300 has 216 divisors, whose sum is σ = 39679960320. Its totient is φ = 3254515200.

The previous prime is 12431031299. The next prime is 12431031307. The reversal of 12431031300 is 313013421.

12431031300 is a `hidden beast` number, since 1 + 24 + 310 + 31 + 300 = 666.

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 (12431031307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28316481 + ... + 28316919.

It is an arithmetic number, because the mean of its divisors is an integer number (183703520).

Almost surely, 212431031300 is an apocalyptic number.

12431031300 is a gapful number since it is divisible by the number (10) 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 12431031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839980160).

12431031300 is an abundant number, since it is smaller than the sum of its proper divisors (27248929020).

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

12431031300 is a wasteful number, since it uses less digits than its factorization.

12431031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12431031300 its reverse (313013421), we get a palindrome (12744044721).

The spelling of 12431031300 in words is "twelve billion, four hundred thirty-one million, thirty-one thousand, three hundred".