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21211210112 = 271137691907
BaseRepresentation
bin10011110000010010…
…010110000110000000
32000202020122010011112
4103300102112012000
5321420032210422
613424433502452
71350430211501
oct236022260600
960666563145
1021211210112
118aa51a2114
12413b711a28
1320005c5701
1410530d2ba8
1584226cee2
hex4f0496180

21211210112 has 64 divisors (see below), whose sum is σ = 42708481200. Its totient is φ = 10492575744.

The previous prime is 21211210109. The next prime is 21211210133. The reversal of 21211210112 is 21101211212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×212112101122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11121863 + ... + 11123769.

Almost surely, 221211210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354240600).

21211210112 is an abundant number, since it is smaller than the sum of its proper divisors (21497271088).

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

21211210112 is a wasteful number, since it uses less digits than its factorization.

21211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21211210112 its reverse (21101211212), we get a palindrome (42312421324).

The spelling of 21211210112 in words is "twenty-one billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 769 904 1538 1808 1907 3076 3616 3814 6152 7232 7628 12304 14464 15256 24608 30512 49216 61024 86897 98432 122048 173794 215491 244096 347588 430982 695176 861964 1390352 1466483 1723928 2780704 2932966 3447856 5561408 5865932 6895712 11122816 11731864 13791424 23463728 27582848 46927456 93854912 165712579 187709824 331425158 662850316 1325700632 2651401264 5302802528 10605605056 21211210112