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21331311300 = 223252131823189
BaseRepresentation
bin10011110111011100…
…011111101011000100
32001001121121220000200
4103313130133223010
5322141303430200
613444404010500
71353416103645
oct236734375304
961047556020
1021331311300
119056a729a2
124173990a30
13201c4566c0
1410650376cc
1584ca93800
hex4f771fac4

21331311300 has 108 divisors (see below), whose sum is σ = 72005065860. Its totient is φ = 5250781440.

The previous prime is 21331311283. The next prime is 21331311307. The reversal of 21331311300 is 311313312.

It is a happy number.

21331311300 is a `hidden beast` number, since 2 + 1 + 331 + 31 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 295289856 + 21036021444 = 17184^2 + 145038^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21331311307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899895 + ... + 923294.

Almost surely, 221331311300 is an apocalyptic number.

21331311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331311300 is an abundant number, since it is smaller than the sum of its proper divisors (50673754560).

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

21331311300 is a wasteful number, since it uses less digits than its factorization.

21331311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823222 (or 1823212 counting only the distinct ones).

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

Adding to 21331311300 its reverse (311313312), we get a palindrome (21642624612).

The spelling of 21331311300 in words is "twenty-one billion, three hundred thirty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1823189 3646378 5469567 7292756 9115945 10939134 16408701 18231890 21878268 23701457 27347835 32817402 36463780 45579725 47402914 54695670 65634804 71104371 82043505 91159450 94805828 109391340 118507285 136739175 142208742 164087010 182318900 213313113 237014570 273478350 284417484 328174020 355521855 410217525 426626226 474029140 546956700 592536425 711043710 820435050 853252452 1066565565 1185072850 1422087420 1640870100 1777609275 2133131130 2370145700 3555218550 4266262260 5332827825 7110437100 10665655650 21331311300