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21120102120 = 23351313538527
BaseRepresentation
bin10011101010110110…
…110010111011101000
32000111220012100111110
4103222312302323220
5321223221231440
613411421030320
71345242622515
oct235266627350
960456170443
1021120102120
118a58824357
1241150b53a0
131cb7776360
141044d7830c
15839273080
hex4eadb2ee8

21120102120 has 64 divisors (see below), whose sum is σ = 68234181120. Its totient is φ = 5198793984.

The previous prime is 21120102119. The next prime is 21120102121. The reversal of 21120102120 is 2120102112.

It is an interprime number because it is at equal distance from previous prime (21120102119) and next prime (21120102121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21120102096 and 21120102105.

It is not an unprimeable number, because it can be changed into a prime (21120102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6767704 + ... + 6770823.

It is an arithmetic number, because the mean of its divisors is an integer number (1066159080).

Almost surely, 221120102120 is an apocalyptic number.

21120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120102120 is an abundant number, since it is smaller than the sum of its proper divisors (47114079000).

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

21120102120 is a wasteful number, since it uses less digits than its factorization.

21120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538554 (or 13538550 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21120102120 its reverse (2120102112), we get a palindrome (23240204232).

The spelling of 21120102120 in words is "twenty-one billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 13538527 27077054 40615581 54154108 67692635 81231162 108308216 135385270 162462324 176000851 203077905 270770540 324924648 352001702 406155810 528002553 541541080 704003404 812311620 880004255 1056005106 1408006808 1624623240 1760008510 2112010212 2640012765 3520017020 4224020424 5280025530 7040034040 10560051060 21120102120