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21002120112 = 2434123474547
BaseRepresentation
bin10011100011110100…
…101110101110110000
32000012200012020121110
4103203310232232300
5321003020320422
613352004153320
71342311034611
oct234364565660
960180166543
1021002120112
1189a8170766
1240a1698840
131c991a7b0c
141033425c08
1582dc1a60c
hex4e3d2ebb0

21002120112 has 80 divisors (see below), whose sum is σ = 55614690432. Its totient is φ = 6825546240.

The previous prime is 21002120089. The next prime is 21002120129. The reversal of 21002120112 is 21102120012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4616623 + ... + 4621169.

Almost surely, 221002120112 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 21002120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27807345216).

21002120112 is an abundant number, since it is smaller than the sum of its proper divisors (34612570320).

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

21002120112 is a wasteful number, since it uses less digits than its factorization.

21002120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6940 counting only the distinct ones).

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

Adding to 21002120112 its reverse (21102120012), we get a palindrome (42104240124).

It can be divided in two parts, 2100 and 2120112, that added together give a palindrome (2122212).

The spelling of 21002120112 in words is "twenty-one billion, two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 2347 4547 4694 7041 9094 9388 13641 14082 18188 18776 27282 28164 36376 37552 54564 56328 72752 96227 109128 112656 186427 192454 218256 288681 372854 384908 559281 577362 745708 769816 1118562 1154724 1491416 1539632 2237124 2309448 2982832 4474248 4618896 8948496 10671809 21343618 32015427 42687236 64030854 85374472 128061708 170748944 256123416 437544169 512246832 875088338 1312632507 1750176676 2625265014 3500353352 5250530028 7000706704 10501060056 21002120112