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124131413053341 = 32121347332402381
BaseRepresentation
bin11100001110010110011000…
…110001111100111110011101
3121021111211212121022112021100
4130032112120301330332131
5112232232113220201331
61120001103420423313
735101125063544551
oct3416263061747635
9537454777275240
10124131413053341
1136608922629891
1211b095bb0a7b39
135435707a98c65
142291dc73c7861
15e53e22546ae6
hex70e598c7cf9d

124131413053341 has 24 divisors (see below), whose sum is σ = 179486735155416. Its totient is φ = 82668548027520.

The previous prime is 124131413053337. The next prime is 124131413053363. The reversal of 124131413053341 is 143350314131421.

124131413053341 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 1 + 4 + 1 + 305 + 3 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7353024029316 + 116778389024025 = 2711646^2 + 10806405^2 .

It is not a de Polignac number, because 124131413053341 - 22 = 124131413053337 is a prime.

It is a super-2 number, since 2×1241314130533412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124131413053296 and 124131413053305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124131413053301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50468971 + ... + 52871351.

It is an arithmetic number, because the mean of its divisors is an integer number (7478613964809).

Almost surely, 2124131413053341 is an apocalyptic number.

It is an amenable number.

124131413053341 is a deficient number, since it is larger than the sum of its proper divisors (55355322102075).

124131413053341 is a wasteful number, since it uses less digits than its factorization.

124131413053341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408333 (or 2408330 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 124131413053341 its reverse (143350314131421), we get a palindrome (267481727184762).

The spelling of 124131413053341 in words is "one hundred twenty-four trillion, one hundred thirty-one billion, four hundred thirteen million, fifty-three thousand, three hundred forty-one".

Divisors: 1 3 9 1213 3639 4733 10917 14199 42597 2402381 5741129 7207143 17223387 21621429 51670161 2914088153 8742264459 11370469273 26226793377 34111407819 102334223457 13792379228149 41377137684447 124131413053341