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21311313300 = 22335259133781
BaseRepresentation
bin10011110110010000…
…001101010110010100
32001000012222212221000
4103312100031112110
5322121144011200
613442411223300
71353054113514
oct236620152624
961005885830
1021311313300
119046754122
124169147b30
132018274174
14106250d844
1584ae43300
hex4f640d594

21311313300 has 144 divisors (see below), whose sum is σ = 69673665600. Its totient is φ = 5586652800.

The previous prime is 21311313281. The next prime is 21311313329. The reversal of 21311313300 is 331311312.

It is a happy number.

21311313300 is a `hidden beast` number, since 21 + 31 + 1 + 313 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92410 + ... + 226190.

It is an arithmetic number, because the mean of its divisors is an integer number (483844900).

Almost surely, 221311313300 is an apocalyptic number.

21311313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836832800).

21311313300 is an abundant number, since it is smaller than the sum of its proper divisors (48362352300).

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

21311313300 is a wasteful number, since it uses less digits than its factorization.

21311313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133863 (or 133850 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21311313300 its reverse (331311312), we get a palindrome (21642624612).

The spelling of 21311313300 in words is "twenty-one billion, three hundred eleven million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 59 60 75 90 100 108 118 135 150 177 180 225 236 270 295 300 354 450 531 540 590 675 708 885 900 1062 1180 1350 1475 1593 1770 2124 2655 2700 2950 3186 3540 4425 5310 5900 6372 7965 8850 10620 13275 15930 17700 26550 31860 39825 53100 79650 133781 159300 267562 401343 535124 668905 802686 1204029 1337810 1605372 2006715 2408058 2675620 3344525 3612087 4013430 4816116 6020145 6689050 7224174 7893079 8026860 10033575 12040290 13378100 14448348 15786158 18060435 20067150 23679237 24080580 30100725 31572316 36120870 39465395 40134300 47358474 60201450 71037711 72241740 78930790 90302175 94716948 118396185 120402900 142075422 157861580 180604350 197326975 213113133 236792370 284150844 355188555 361208700 394653950 426226266 473584740 591980925 710377110 789307900 852452532 1065565665 1183961850 1420754220 1775942775 2131131330 2367923700 3551885550 4262262660 5327828325 7103771100 10655656650 21311313300