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21321922200 = 23352225115787
BaseRepresentation
bin10011110110111000…
…101011011010011000
32001000221221212121020
4103312320223122120
5322131403002300
613443430442440
71353243230325
oct236670533230
961027855536
1021321922200
11905173a807
124170803420
13201a519c17
141063ab1b4c
1584bd3b8a0
hex4f6e2b698

21321922200 has 96 divisors (see below), whose sum is σ = 66131511360. Its totient is φ = 5682960000.

The previous prime is 21321922199. The next prime is 21321922211. The reversal of 21321922200 is 222912312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342707 + ... + 1358493.

It is an arithmetic number, because the mean of its divisors is an integer number (688869910).

Almost surely, 221321922200 is an apocalyptic number.

21321922200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321922200 is an abundant number, since it is smaller than the sum of its proper divisors (44809589160).

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

21321922200 is a wasteful number, since it uses less digits than its factorization.

21321922200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057 (or 18048 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 21321922200 in words is "twenty-one billion, three hundred twenty-one million, nine hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2251 4502 6753 9004 11255 13506 15787 18008 22510 27012 31574 33765 45020 47361 54024 56275 63148 67530 78935 90040 94722 112550 126296 135060 157870 168825 189444 225100 236805 270120 315740 337650 378888 394675 450200 473610 631480 675300 789350 947220 1184025 1350600 1578700 1894440 2368050 3157400 4736100 9472200 35536537 71073074 106609611 142146148 177682685 213219222 284292296 355365370 426438444 533048055 710730740 852876888 888413425 1066096110 1421461480 1776826850 2132192220 2665240275 3553653700 4264384440 5330480550 7107307400 10660961100 21321922200