Search a number
-
+
23131221132100 = 2252297976283149
BaseRepresentation
bin1010100001001101010000…
…01110000000001101000100
310000220022201120102222001111
411100212220032000031010
511012440220102211400
6121110200345534404
74605114136344154
oct520465016001504
9100808646388044
1023131221132100
117408994332524
122716b9b1a4404
13cba35999b423
1459d7b2890764
152a1a697503ba
hex1509a8380344

23131221132100 has 36 divisors (see below), whose sum is σ = 51925603306500. Its totient is φ = 8933437125760.

The previous prime is 23131221132091. The next prime is 23131221132113. The reversal of 23131221132100 is 123112213132.

It can be written as a sum of positive squares in 6 ways, for example, as 3589994193984 + 19541226938116 = 1894728^2 + 4420546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3988138675 + ... + 3988144474.

It is an arithmetic number, because the mean of its divisors is an integer number (1442377869625).

Almost surely, 223131221132100 is an apocalyptic number.

23131221132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23131221132100 is an abundant number, since it is smaller than the sum of its proper divisors (28794382174400).

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

23131221132100 is a wasteful number, since it uses less digits than its factorization.

23131221132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976283192 (or 7976283185 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 23131221132100 its reverse (123112213132), we get a palindrome (23254333345232).

The spelling of 23131221132100 in words is "twenty-three trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 7976283149 15952566298 31905132596 39881415745 79762831490 159525662980 199407078725 231312211321 398814157450 462624422642 797628314900 925248845284 1156561056605 2313122113210 4626244226420 5782805283025 11565610566050 23131221132100