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23122412313 = 37111371910709
BaseRepresentation
bin10101100010001101…
…000000001100011001
32012200102220020201020
4111202031000030121
5334323314143223
614342225313053
71445665155540
oct254215001431
965612806636
1023122412313
119895aa9670
124593795789
13224654c0a0
141194c75157
15904e401e3
hex562340319

23122412313 has 64 divisors (see below), whose sum is σ = 41455411200. Its totient is φ = 11071215360.

The previous prime is 23122412303. The next prime is 23122412321. The reversal of 23122412313 is 31321422132.

It is not a de Polignac number, because 23122412313 - 25 = 23122412281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23122412303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2153803 + ... + 2164511.

It is an arithmetic number, because the mean of its divisors is an integer number (647740800).

Almost surely, 223122412313 is an apocalyptic number.

It is an amenable number.

23122412313 is a deficient number, since it is larger than the sum of its proper divisors (18332998887).

23122412313 is a wasteful number, since it uses less digits than its factorization.

23122412313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462.

The product of its digits is 1728, while the sum is 24.

Adding to 23122412313 its reverse (31321422132), we get a palindrome (54443834445).

The spelling of 23122412313 in words is "twenty-three billion, one hundred twenty-two million, four hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 719 1001 2157 3003 5033 7909 9347 10709 15099 23727 28041 32127 55363 65429 74963 102817 117799 139217 166089 196287 224889 308451 353397 417651 719719 824593 974519 1531387 2159157 2473779 2923557 4594161 7699771 10719709 23099313 32159127 53898397 84697481 100097023 161695191 254092443 300291069 592882367 700679161 1101067253 1778647101 2102037483 3303201759 7707470771 23122412313