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21300999972 = 22372414912143
BaseRepresentation
bin10011110101101000…
…110111011100100100
32000222111120220200220
4103311220313130210
5322111023444342
613441402204340
71352600340510
oct236550673444
960874526626
1021300999972
11904094a60a
1241657b36b0
1320160a2ac5
141060dc7140
1584a0a75ec
hex4f5a37724

21300999972 has 96 divisors (see below), whose sum is σ = 57181200384. Its totient is φ = 6045580800.

The previous prime is 21300999971. The next prime is 21301000001. The reversal of 21300999972 is 27999900312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21300999971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9938733 + ... + 9940875.

It is an arithmetic number, because the mean of its divisors is an integer number (595637504).

Almost surely, 221300999972 is an apocalyptic number.

It is an amenable number.

21300999972 is an abundant number, since it is smaller than the sum of its proper divisors (35880200412).

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

21300999972 is a wasteful number, since it uses less digits than its factorization.

21300999972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The spelling of 21300999972 in words is "twenty-one billion, three hundred million, nine hundred ninety-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 482 491 723 964 982 1446 1473 1687 1964 2143 2892 2946 3374 3437 4286 5061 5892 6429 6748 6874 8572 10122 10311 12858 13748 15001 20244 20622 25716 30002 41244 45003 60004 90006 118331 180012 236662 354993 473324 516463 709986 828317 1032926 1052213 1419972 1549389 1656634 2065852 2104426 2484951 3098778 3156639 3313268 3615241 4208852 4969902 6197556 6313278 7230482 7365491 9939804 10845723 12626556 14460964 14730982 21691446 22096473 29461964 43382892 44192946 88385892 253583333 507166666 760749999 1014333332 1521499998 1775083331 3042999996 3550166662 5325249993 7100333324 10650499986 21300999972