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21332131020 = 22325508723297
BaseRepresentation
bin10011110111011111…
…100111110011001100
32001001200011112110200
4103313133213303030
5322142011143040
613444433333500
71353426056544
oct236737476314
961050145420
1021332131020
119057482852
124174107290
13201c682845
1410651ac324
1584cba6630
hex4f77e7ccc

21332131020 has 72 divisors (see below), whose sum is σ = 64722962304. Its totient is φ = 5687205888.

The previous prime is 21332130959. The next prime is 21332131031. The reversal of 21332131020 is 2013123312.

21332131020 is a `hidden beast` number, since 2 + 1 + 332 + 1 + 310 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21332130984 and 21332131002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904012 + ... + 927308.

It is an arithmetic number, because the mean of its divisors is an integer number (898930032).

Almost surely, 221332131020 is an apocalyptic number.

21332131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332131020 is an abundant number, since it is smaller than the sum of its proper divisors (43390831284).

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

21332131020 is a wasteful number, since it uses less digits than its factorization.

21332131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28399 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21332131020 its reverse (2013123312), we get a palindrome (23345254332).

The spelling of 21332131020 in words is "twenty-one billion, three hundred thirty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5087 10174 15261 20348 23297 25435 30522 45783 46594 50870 61044 69891 76305 91566 93188 101740 116485 139782 152610 183132 209673 228915 232970 279564 305220 349455 419346 457830 465940 698910 838692 915660 1048365 1397820 2096730 4193460 118511839 237023678 355535517 474047356 592559195 711071034 1066606551 1185118390 1422142068 1777677585 2133213102 2370236780 3555355170 4266426204 5333032755 7110710340 10666065510 21332131020