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12131251400 = 2352101600557
BaseRepresentation
bin10110100110001010…
…00011010011001000
31011022110002102102102
423103011003103020
5144321100021100
65323434452532
7606423635612
oct132305032310
934273072372
1012131251400
115165858804
122426894148
1311b43caa88
14831225db2
154b0049cd5
hex2d31434c8

12131251400 has 48 divisors (see below), whose sum is σ = 28484465940. Its totient is φ = 4804448000.

The previous prime is 12131251393. The next prime is 12131251409. The reversal of 12131251400 is 415213121.

It can be written as a sum of positive squares in 6 ways, for example, as 9597337156 + 2533914244 = 97966^2 + 50338^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12131251409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280079 + ... + 320478.

Almost surely, 212131251400 is an apocalyptic number.

12131251400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131251400 is an abundant number, since it is smaller than the sum of its proper divisors (16353214540).

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

12131251400 is a wasteful number, since it uses less digits than its factorization.

12131251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600674 (or 600665 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 12131251400 its reverse (415213121), we get a palindrome (12546464521).

The spelling of 12131251400 in words is "twelve billion, one hundred thirty-one million, two hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 600557 1201114 2402228 3002785 4804456 6005570 12011140 15013925 24022280 30027850 60055700 60656257 120111400 121312514 242625028 303281285 485250056 606562570 1213125140 1516406425 2426250280 3032812850 6065625700 12131251400