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12103131300 = 223521317237937
BaseRepresentation
bin10110100010110011…
…10010000010100100
31011020111011202220020
423101121302002210
5144241400200200
65320552035140
7605632630041
oct132131620244
934214152806
1012103131300
1151509a1757
122419392ab0
1311ab633670
1482b5c61c8
154ac842ea0
hex2d16720a4

12103131300 has 288 divisors, whose sum is σ = 41671832832. Its totient is φ = 2681733120.

The previous prime is 12103131223. The next prime is 12103131343. The reversal of 12103131300 is 313130121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12103131300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1520932 + ... + 1528868.

It is an arithmetic number, because the mean of its divisors is an integer number (144693864).

Almost surely, 212103131300 is an apocalyptic number.

12103131300 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 12103131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835916416).

12103131300 is an abundant number, since it is smaller than the sum of its proper divisors (29568701532).

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

12103131300 is a wasteful number, since it uses less digits than its factorization.

12103131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12103131300 its reverse (313130121), we get a palindrome (12416261421).

The spelling of 12103131300 in words is "twelve billion, one hundred three million, one hundred thirty-one thousand, three hundred".