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21313113012 = 2235136116111
BaseRepresentation
bin10011110110010111…
…000100101110110100
32001000100101022200000
4103312113010232310
5322122124104022
613442513551300
71353105320502
oct236627045664
961010338600
1021313113012
119047773294
124169875530
132018754399
14106285b672
1584b19b6ac
hex4f65c4bb4

21313113012 has 72 divisors (see below), whose sum is σ = 55914698112. Its totient is φ = 7098710400.

The previous prime is 21313113011. The next prime is 21313113037. The reversal of 21313113012 is 21031131312.

21313113012 is a `hidden beast` number, since 21 + 31 + 311 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313113011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1314837 + ... + 1330947.

Almost surely, 221313113012 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 21313113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27957349056).

21313113012 is an abundant number, since it is smaller than the sum of its proper divisors (34601585100).

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

21313113012 is a wasteful number, since it uses less digits than its factorization.

21313113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17491 (or 17477 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21313113012 its reverse (21031131312), we get a palindrome (42344244324).

The spelling of 21313113012 in words is "twenty-one billion, three hundred thirteen million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1361 2722 4083 5444 8166 12249 16111 16332 24498 32222 36747 48333 48996 64444 73494 96666 110241 144999 146988 193332 220482 289998 330723 434997 440964 579996 661446 869994 1304991 1322892 1739988 2609982 3914973 5219964 7829946 15659892 21927071 43854142 65781213 87708284 131562426 197343639 263124852 394687278 592030917 789374556 1184061834 1776092751 2368123668 3552185502 5328278253 7104371004 10656556506 21313113012