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23131110222 = 236114793011
BaseRepresentation
bin10101100010101110…
…001011101101001110
32012201001021011000000
4111202232023231032
5334333031011342
614343135545130
71446132123063
oct254256135516
965631234000
1023131110222
11989a9aa520
12459668b1a6
1322482a608c
14119609ac6a
15905aac44c
hex562b8bb4e

23131110222 has 112 divisors (see below), whose sum is σ = 56887764480. Its totient is φ = 6992470800.

The previous prime is 23131110161. The next prime is 23131110227. The reversal of 23131110222 is 22201113132.

23131110222 is a `hidden beast` number, since 231 + 311 + 102 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23131110195 and 23131110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131110227) 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 55 ways as a sum of consecutive naturals, for example, 7680697 + ... + 7683707.

Almost surely, 223131110222 is an apocalyptic number.

23131110222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131110222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28443882240).

23131110222 is an abundant number, since it is smaller than the sum of its proper divisors (33756654258).

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

23131110222 is a wasteful number, since it uses less digits than its factorization.

23131110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23131110222 its reverse (22201113132), we get a palindrome (45332223354).

The spelling of 23131110222 in words is "twenty-three billion, one hundred thirty-one million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 479 486 594 729 891 958 1437 1458 1782 2673 2874 3011 4311 5269 5346 6022 8019 8622 9033 10538 12933 15807 16038 18066 25866 27099 31614 33121 38799 47421 54198 66242 77598 81297 94842 99363 116397 142263 162594 198726 232794 243891 284526 298089 349191 426789 487782 596178 698382 731673 853578 894267 1280367 1442269 1463346 1788534 2195019 2560734 2682801 2884538 3841101 4326807 4390038 5365602 7682202 8048403 8653614 12980421 15864959 16096806 24145209 25960842 31729918 38941263 47594877 48290418 77882526 95189754 116823789 142784631 233647578 285569262 350471367 428353893 700942734 856707786 1051414101 1285061679 2102828202 2570123358 3855185037 7710370074 11565555111 23131110222