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23113121241132 = 2232131491493222007
BaseRepresentation
bin1010100000101011100010…
…11000011001100000101100
310000211121000011022020101100
411100111301120121200230
511012141133014204012
6121054004334243100
74603603455662556
oct520256130314054
9100747004266340
1023113121241132
11740124642354a
122713589656490
13cb8733b64b80
1459c976aa04d6
152a135a7148dc
hex15057161982c

23113121241132 has 144 divisors (see below), whose sum is σ = 63384038827200. Its totient is φ = 7059236673024.

The previous prime is 23113121241059. The next prime is 23113121241151. The reversal of 23113121241132 is 23114212131132.

23113121241132 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 3 + 1 + 212 + 411 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23113121241096 and 23113121241105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103998873 + ... + 104220879.

It is an arithmetic number, because the mean of its divisors is an integer number (440166936300).

Almost surely, 223113121241132 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 23113121241132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31692019413600).

23113121241132 is an abundant number, since it is smaller than the sum of its proper divisors (40270917586068).

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

23113121241132 is a wasteful number, since it uses less digits than its factorization.

23113121241132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223672 (or 223667 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 23113121241132 its reverse (23114212131132), we get a palindrome (46227333372264).

The spelling of 23113121241132 in words is "twenty-three trillion, one hundred thirteen billion, one hundred twenty-one million, two hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1493 1788 1937 2682 2986 3874 4479 5364 5811 5972 7748 8958 11622 13437 17433 17916 19409 23244 26874 34866 38818 53748 58227 69732 77636 116454 174681 222007 222457 232908 349362 444014 444914 666021 667371 698724 888028 889828 1332042 1334742 1998063 2002113 2664084 2669484 2886091 2891941 3996126 4004226 5772182 5783882 7992252 8008452 8658273 8675823 11544364 11567764 17316546 17351646 25974819 26027469 33079043 34633092 34703292 51949638 52054938 66158086 99237129 103899276 104109876 132316172 198474258 297711387 331456451 396948516 430027559 595422774 662912902 860055118 994369353 1190845548 1290082677 1325825804 1720110236 1988738706 2580165354 2983108059 3870248031 3977477412 4308933863 5160330708 5966216118 7740496062 8617867726 11932432236 12926801589 15480992124 17235735452 25853603178 38780404767 49387011199 51707206356 77560809534 98774022398 148161033597 155121619068 197548044796 296322067194 444483100791 592644134388 642031145587 888966201582 1284062291174 1777932403164 1926093436761 2568124582348 3852186873522 5778280310283 7704373747044 11556560620566 23113121241132