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21311454400 = 265247283397
BaseRepresentation
bin10011110110010000…
…101111110011000000
32001000020021001110221
4103312100233303000
5322121213020100
613442414232424
71353055242055
oct236620576300
961006231427
1021311454400
119046840135
1241691b5714
1320182c3462
14106254902c
1584ae7001a
hex4f642fcc0

21311454400 has 84 divisors (see below), whose sum is σ = 53555420448. Its totient is φ = 8343178240.

The previous prime is 21311454377. The next prime is 21311454421. The reversal of 21311454400 is 445411312.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 66499 + ... + 216898.

Almost surely, 221311454400 is an apocalyptic number.

21311454400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21311454400 is an abundant number, since it is smaller than the sum of its proper divisors (32243966048).

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

21311454400 is a wasteful number, since it uses less digits than its factorization.

21311454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283466 (or 283451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21311454400 its reverse (445411312), we get a palindrome (21756865712).

The spelling of 21311454400 in words is "twenty-one billion, three hundred eleven million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 160 188 200 235 320 376 400 470 752 800 940 1175 1504 1600 1880 2350 3008 3760 4700 7520 9400 15040 18800 37600 75200 283397 566794 1133588 1416985 2267176 2833970 4534352 5667940 7084925 9068704 11335880 13319659 14169850 18137408 22671760 26639318 28339700 45343520 53278636 56679400 66598295 90687040 106557272 113358800 133196590 213114544 226717600 266393180 332991475 426229088 453435200 532786360 665982950 852458176 1065572720 1331965900 2131145440 2663931800 4262290880 5327863600 10655727200 21311454400