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23124244242132 = 2232111916718403579
BaseRepresentation
bin1010100001000000010000…
…10111010001111011010100
310000212122201100012020021100
411100200020113101323110
511012331423011222012
6121103044154550100
74604446220636115
oct520401027217324
9100778640166240
1023124244242132
117405a34032860
122715772738330
13cb97b73c7377
1459d31002c20c
152a17abe9d8dc
hex1508085d1ed4

23124244242132 has 144 divisors (see below), whose sum is σ = 67524943449600. Its totient is φ = 6598786927680.

The previous prime is 23124244242091. The next prime is 23124244242139.

23124244242132 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 42 + 442 + 42 + 132 = 666.

23124244242132 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23124244242139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7945282 + ... + 10458297.

It is an arithmetic number, because the mean of its divisors is an integer number (468923218400).

Almost surely, 223124244242132 is an apocalyptic number.

23124244242132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23124244242132 is an abundant number, since it is smaller than the sum of its proper divisors (44400699207468).

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

23124244242132 is a wasteful number, since it uses less digits than its factorization.

23124244242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403786 (or 18403781 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2312424 and 4242132, that added together give a palindrome (6554556).

The spelling of 23124244242132 in words is "twenty-three trillion, one hundred twenty-four billion, two hundred forty-four million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 167 171 198 209 228 334 342 396 418 501 627 668 684 836 1002 1254 1503 1837 1881 2004 2508 3006 3173 3674 3762 5511 6012 6346 7348 7524 9519 11022 12692 16533 19038 22044 28557 33066 34903 38076 57114 66132 69806 104709 114228 139612 209418 314127 418836 628254 1256508 18403579 36807158 55210737 73614316 110421474 165632211 202439369 220842948 331264422 349668001 404878738 607318107 662528844 699336002 809757476 1049004003 1214636214 1398672004 1821954321 2098008006 2429272428 3073397693 3147012009 3643908642 3846348011 4196016012 6146795386 6294024018 7287817284 7692696022 9220193079 11539044033 12293590772 12588048036 15385392044 18440386158 23078088066 27660579237 33807374623 34617132099 36880772316 46156176132 55321158474 58394556167 67614749246 69234264198 101422123869 110642316948 116789112334 135229498492 138468528396 175183668501 202844247738 233578224668 304266371607 350367337002 405688495476 525551005503 608532743214 642340117837 700734674004 1051102011006 1217065486428 1284680235674 1927020353511 2102204022012 2569360471348 3854040707022 5781061060533 7708081414044 11562122121066 23124244242132