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10400133312 = 263218055787
BaseRepresentation
bin10011010111110010…
…10111000011000000
3222211210200111211200
421223321113003000
5132244413231222
64435554541200
7515503450242
oct115371270300
928753614750
1010400133312
1144576710a8
122022b97800
13c9987764a
14709360092
1540d09aeac
hex26be570c0

10400133312 has 42 divisors (see below), whose sum is σ = 29810105988. Its totient is φ = 3466710912.

The previous prime is 10400133283. The next prime is 10400133347. The reversal of 10400133312 is 21333100401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9027318 + ... + 9028469.

Almost surely, 210400133312 is an apocalyptic number.

10400133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400133312 is an abundant number, since it is smaller than the sum of its proper divisors (19409972676).

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

10400133312 is a wasteful number, since it uses less digits than its factorization.

10400133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18055805 (or 18055792 counting only the distinct ones).

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

Adding to 10400133312 its reverse (21333100401), we get a palindrome (31733233713).

The spelling of 10400133312 in words is "ten billion, four hundred million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18055787 36111574 54167361 72223148 108334722 144446296 162502083 216669444 288892592 325004166 433338888 577785184 650008332 866677776 1155570368 1300016664 1733355552 2600033328 3466711104 5200066656 10400133312