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21010100012 = 22111727012357
BaseRepresentation
bin10011100100010011…
…001010111100101100
32000020020012122222022
4103210103022330230
5321012041200022
613352451205312
71342435621616
oct234423127454
960206178868
1021010100012
118a01721120
1240a42a6838
131c9aa40055
141034501db6
1582e794c42
hex4e44caf2c

21010100012 has 72 divisors (see below), whose sum is σ = 42687289008. Its totient is φ = 8971648000.

The previous prime is 21010099987. The next prime is 21010100021. The reversal of 21010100012 is 21000101012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8912738 + ... + 8915094.

It is an arithmetic number, because the mean of its divisors is an integer number (592879014).

Almost surely, 221010100012 is an apocalyptic number.

21010100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21010100012 is an abundant number, since it is smaller than the sum of its proper divisors (21677188996).

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

21010100012 is a wasteful number, since it uses less digits than its factorization.

21010100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21010100012 its reverse (21000101012), we get a palindrome (42010201024).

It can be divided in two parts, 210101000 and 12, that added together give a palindrome (210101012).

The spelling of 21010100012 in words is "twenty-one billion, ten million, one hundred thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 187 289 374 578 701 748 1156 1402 2357 2804 3179 4714 6358 7711 9428 11917 12716 15422 23834 25927 30844 40069 47668 51854 80138 103708 131087 160276 202589 262174 405178 440759 524348 681173 810356 881518 1362346 1652257 1763036 2228479 2724692 3304514 4456958 6609028 7492903 8913916 14985806 18174827 28088369 29971612 36349654 56176738 72699308 112353476 308972059 477502273 617944118 955004546 1235888236 1910009092 5252525003 10505050006 21010100012