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21102010120 = 23512719321523
BaseRepresentation
bin10011101001110001…
…110001111100001000
32000110122011011221101
4103221301301330020
5321204103310440
613405533151144
71344633061252
oct235161617410
960418134841
1021102010120
118a49597594
12410b02b4b4
131cb3ab0529
1410427c8cd2
1583789c69a
hex4e9c71f08

21102010120 has 64 divisors (see below), whose sum is σ = 48103557120. Its totient is φ = 8330563584.

The previous prime is 21102010117. The next prime is 21102010141. The reversal of 21102010120 is 2101020112.

It is a super-2 number, since 2×211020101202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21102010097 and 21102010106.

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 15 ways as a sum of consecutive naturals, for example, 969679 + ... + 991201.

It is an arithmetic number, because the mean of its divisors is an integer number (751618080).

Almost surely, 221102010120 is an apocalyptic number.

21102010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102010120 is an abundant number, since it is smaller than the sum of its proper divisors (27001547000).

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

21102010120 is a wasteful number, since it uses less digits than its factorization.

21102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21854 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21102010120 its reverse (2101020112), we get a palindrome (23203030232).

The spelling of 21102010120 in words is "twenty-one billion, one hundred two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 193 254 386 508 635 772 965 1016 1270 1544 1930 2540 3860 5080 7720 21523 24511 43046 49022 86092 98044 107615 122555 172184 196088 215230 245110 430460 490220 860920 980440 2733421 4153939 5466842 8307878 10933684 13667105 16615756 20769695 21867368 27334210 33231512 41539390 54668420 83078780 109336840 166157560 527550253 1055100506 2110201012 2637751265 4220402024 5275502530 10551005060 21102010120