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21255655212 = 223211229168263
BaseRepresentation
bin10011110010111011…
…111000111100101100
32000212100021011101100
4103302323320330230
5322012421431322
613433102243100
71351510042161
oct236273707454
960770234340
1021255655212
119018299400
124152586490
13200988759c
141058d82068
158460ebdac
hex4f2ef8f2c

21255655212 has 108 divisors (see below), whose sum is σ = 61094975760. Its totient is φ = 6218963520.

The previous prime is 21255655193. The next prime is 21255655231.

21255655212 is a `hidden beast` number, since 2 + 125 + 5 + 6 + 5 + 521 + 2 = 666.

21255655212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21255655193) and next prime (21255655231).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42193 + ... + 210455.

It is an arithmetic number, because the mean of its divisors is an integer number (565694220).

Almost surely, 221255655212 is an apocalyptic number.

21255655212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21255655212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30547487880).

21255655212 is an abundant number, since it is smaller than the sum of its proper divisors (39839320548).

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

21255655212 is a wasteful number, since it uses less digits than its factorization.

21255655212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168324 (or 168308 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 21255655212 in words is "twenty-one billion, two hundred fifty-five million, six hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 522 638 726 957 1044 1089 1276 1452 1914 2178 2871 3509 3828 4356 5742 7018 10527 11484 14036 21054 31581 42108 63162 126324 168263 336526 504789 673052 1009578 1514367 1850893 2019156 3028734 3701786 4879627 5552679 6057468 7403572 9759254 11105358 14638881 16658037 19518508 20359823 22210716 29277762 33316074 40719646 43916643 53675897 58555524 61079469 66632148 81439292 87833286 107351794 122158938 161027691 175666572 183238407 214703588 244317876 322055382 366476814 483083073 590434867 644110764 732953628 966166146 1180869734 1771304601 1932332292 2361739468 3542609202 5313913803 7085218404 10627827606 21255655212