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23322142310324 = 221113641187133997
BaseRepresentation
bin1010100110110000111000…
…00000011111111110110100
310001120120112012022201101112
411103120130000133332310
511024102221412412244
6121334013321214152
74624653266522054
oct523303400377664
9101516465281345
1023322142310324
117481957366530
122747ba2331358
1310023651002c0
145a8b24cbd564
152a69e0b2839e
hex15361c01ffb4

23322142310324 has 96 divisors (see below), whose sum is σ = 48050904125952. Its totient is φ = 9764739072000.

The previous prime is 23322142310323. The next prime is 23322142310353. The reversal of 23322142310324 is 42301324122332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322142310323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685988894 + ... + 686022890.

It is an arithmetic number, because the mean of its divisors is an integer number (500530251312).

Almost surely, 223322142310324 is an apocalyptic number.

It is an amenable number.

23322142310324 is an abundant number, since it is smaller than the sum of its proper divisors (24728761815628).

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

23322142310324 is a wasteful number, since it uses less digits than its factorization.

23322142310324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36537 (or 36535 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 23322142310324 its reverse (42301324122332), we get a palindrome (65623466432656).

The spelling of 23322142310324 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred forty-two million, three hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 641 1282 1871 2564 3742 7051 7484 8333 14102 16666 20581 24323 28204 33332 33997 41162 48646 67994 82324 91663 97292 135988 183326 267553 366652 373967 441961 535106 747934 883922 1070212 1199311 1495868 1767844 2398622 4797244 4861571 9723142 13192421 15591043 19446284 21792077 26384842 31182086 43584154 52769684 62364172 63608387 87168308 127216774 171501473 239712847 254433548 283297001 343002946 479425694 566594002 686005892 699692257 826909031 958851388 1133188004 1399384514 1653818062 2798769028 3116267011 3307636124 6232534022 9095999341 12465068044 18191998682 36383997364 40772976067 81545952134 163091904268 448502736737 530048688871 897005473474 1060097377742 1794010946948 2120194755484 5830535577581 11661071155162 23322142310324