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12311431400 = 2352193318949
BaseRepresentation
bin10110111011101000…
…11000100011101000
31011210000010111220202
423131310120203220
5200203211301100
65353352411332
7614042304002
oct133564304350
934700114822
1012311431400
1152485336a4
1224770a6b48
131212835868
1484b129372
154c0c8b7d5
hex2ddd188e8

12311431400 has 48 divisors (see below), whose sum is σ = 28772479500. Its totient is φ = 4899041280.

The previous prime is 12311431397. The next prime is 12311431439. The reversal of 12311431400 is 413411321.

12311431400 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 6 ways, for example, as 2737591684 + 9573839716 = 52322^2 + 97846^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120875 + ... + 198074.

Almost surely, 212311431400 is an apocalyptic number.

12311431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311431400 is an abundant number, since it is smaller than the sum of its proper divisors (16461048100).

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

12311431400 is a wasteful number, since it uses less digits than its factorization.

12311431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319158 (or 319149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12311431400 its reverse (413411321), we get a palindrome (12724842721).

The spelling of 12311431400 in words is "twelve billion, three hundred eleven million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 7720 9650 19300 38600 318949 637898 1275796 1594745 2551592 3189490 6378980 7973725 12757960 15947450 31894900 61557157 63789800 123114314 246228628 307785785 492457256 615571570 1231143140 1538928925 2462286280 3077857850 6155715700 12311431400