Search a number
-
+
124332020233421 = 721121310138941057
BaseRepresentation
bin11100010001010001001101…
…111001100111010011001101
3121022020000200021010011020212
4130101101031321213103031
5112244023434134432141
61120233201440452205
735121456236464100
oct3421211571472315
9538200607104225
10124332020233421
1136685a06102400
1211b4046601a065
13544b5c7b28b90
14229b9b7da0737
15e59263e562eb
hex71144de674cd

124332020233421 has 144 divisors (see below), whose sum is σ = 173347307930160. Its totient is φ = 88314412032000.

The previous prime is 124332020233411. The next prime is 124332020233507.

124332020233421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9253064353225 + 115078955880196 = 3041885^2 + 10727486^2 .

It is not a de Polignac number, because 124332020233421 - 218 = 124332019971277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124332020233411) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3028257725 + ... + 3028298781.

It is an arithmetic number, because the mean of its divisors is an integer number (1203800749515).

Almost surely, 2124332020233421 is an apocalyptic number.

124332020233421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124332020233421 is a deficient number, since it is larger than the sum of its proper divisors (49015287696739).

124332020233421 is a wasteful number, since it uses less digits than its factorization.

124332020233421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41596 (or 41578 counting only the distinct ones).

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

The spelling of 124332020233421 in words is "one hundred twenty-four trillion, three hundred thirty-two billion, twenty million, two hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 101 121 143 389 539 637 707 847 1001 1111 1313 1573 2723 4279 4949 5057 5929 7007 7777 9191 11011 12221 14443 19061 29953 35399 39289 41057 47069 54439 55627 64337 77077 85547 101101 158873 209671 247793 275023 287399 329483 389389 432179 451627 510757 533741 598829 611897 707707 1112111 1925161 2011793 2306381 2725723 3025253 3161389 3575299 3736187 4146757 4283279 4753969 4967897 5618327 5871151 7784777 15971173 21176771 22129723 25027093 26153309 29027299 29982953 33277783 34775279 39328289 41098057 45614327 53907841 61801597 64582661 111798211 175682903 203191093 207625249 232944481 243426953 275298023 287686399 319300289 377354887 432611179 452078627 501757597 592986251 782587477 1229780321 1453376743 1613088473 1932511933 2235102023 2283877739 2641484209 3028278253 3164550389 3512303179 4150903757 6522848761 8608462247 10173637201 11291619311 13527583531 15987144173 17743973203 20970150149 24586122253 25122655129 29056326299 45659941327 79041335177 94693084717 111910009211 124207812421 146791051043 175858585903 195183705233 230671651639 319619589289 869454686947 1027537357301 1231010101321 1366285936631 1614701561473 2537388168029 9564001556417 11302910930311 17761717176203 124332020233421