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23122340241 = 37112132932389
BaseRepresentation
bin10101100010001100…
…101110100110010001
32012200102202120211220
4111202030232212101
5334323304341431
614342223555253
71445664435450
oct254214564621
965612676756
1023122340241
119895a5a500
12459375bb29
132246525340
141194c56b97
15904e28b96
hex56232e991

23122340241 has 96 divisors (see below), whose sum is σ = 41867293440. Its totient is φ = 11045168640.

The previous prime is 23122340221. The next prime is 23122340317. The reversal of 23122340241 is 14204322132.

It is a happy number.

It is not a de Polignac number, because 23122340241 - 214 = 23122323857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23122340221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9677475 + ... + 9679863.

It is an arithmetic number, because the mean of its divisors is an integer number (436117640).

Almost surely, 223122340241 is an apocalyptic number.

23122340241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23122340241 is a deficient number, since it is larger than the sum of its proper divisors (18744953199).

23122340241 is a wasteful number, since it uses less digits than its factorization.

23122340241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23122340241 its reverse (14204322132), we get a palindrome (37326662373).

It can be divided in two parts, 23122 and 340241, that added together give a palindrome (363363).

The spelling of 23122340241 in words is "twenty-three billion, one hundred twenty-two million, three hundred forty thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 293 363 429 847 879 1001 1573 2051 2389 2541 3003 3223 3809 4719 6153 7167 9669 11011 11427 16723 22561 26279 26663 31057 33033 35453 41899 50169 67683 78837 79989 93171 106359 125697 183953 217399 248171 289069 293293 341627 460889 551859 652197 699977 744513 867207 879879 1024881 1382667 2023483 2099931 2391389 3226223 3757897 4899839 6070449 7174167 7699747 9099701 9678669 11273691 14699517 23099241 26305279 27299103 53898229 63697907 78915837 84697217 100096711 161694687 191093721 254091651 300290133 592880519 700676977 1101063821 1778641557 2102030931 3303191463 7707446747 23122340241