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23213422431232 = 2101119108465827
BaseRepresentation
bin1010100011100110010111…
…10011000100110000000000
310001012011220022200121202221
411101303023303010300000
511020312042120244412
6121212033221020424
74614054151015405
oct521631363046000
9101164808617687
1023213422431232
11743a836876190
12272ab00254714
13cc5029b9acb7
145a376db242ac
152a3c7b0e5b07
hex151ccbcc4c00

23213422431232 has 88 divisors (see below), whose sum is σ = 53287091979840. Its totient is φ = 9996210524160.

The previous prime is 23213422431179. The next prime is 23213422431233.

It is a happy number.

23213422431232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (23213422431233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54018898 + ... + 54446929.

Almost surely, 223213422431232 is an apocalyptic number.

23213422431232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23213422431232 is an abundant number, since it is smaller than the sum of its proper divisors (30073669548608).

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

23213422431232 is a wasteful number, since it uses less digits than its factorization.

23213422431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108465877 (or 108465859 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2321342 and 2431232, that added together give a palindrome (4752574).

The spelling of 23213422431232 in words is "twenty-three trillion, two hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2432 2816 3344 4864 5632 6688 9728 11264 13376 19456 26752 53504 107008 214016 108465827 216931654 433863308 867726616 1193124097 1735453232 2060850713 2386248194 3470906464 4121701426 4772496388 6941812928 8243402852 9544992776 13883625856 16486805704 19089985552 22669357843 27767251712 32973611408 38179971104 45338715686 55534503424 65947222816 76359942208 90677431372 111069006848 131894445632 152719884416 181354862744 263788891264 305439768832 362709725488 527577782528 610879537664 725419450976 1055155565056 1221759075328 1450838901952 2110311130112 2901677803904 5803355607808 11606711215616 23213422431232