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123013234220031 = 35796407940523
BaseRepresentation
bin11011111110000101000000…
…001000001101101111111111
3121010112221122210120100100000
4123332011000020031233333
5112110422100430020111
61113343255531405343
734624261422356151
oct3376050010155777
9533487583510300
10123013234220031
113621768a850311
12119689572b3853
135384137a075ac
142253c2d860ad1
15e34ccab64c56
hex6fe14020dbff

123013234220031 has 24 divisors (see below), whose sum is σ = 186599228058880. Its totient is φ = 80970736435992.

The previous prime is 123013234219903. The next prime is 123013234220047. The reversal of 123013234220031 is 130022432310321.

123013234220031 is a `hidden beast` number, since 1 + 2 + 301 + 323 + 4 + 2 + 2 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 123013234220031 - 27 = 123013234219903 is a prime.

It is a super-2 number, since 2×1230132342200312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123013234219977 and 123013234220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013234220081) 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, 3203951065 + ... + 3203989458.

Almost surely, 2123013234220031 is an apocalyptic number.

123013234220031 is a deficient number, since it is larger than the sum of its proper divisors (63585993838849).

123013234220031 is an frugal number, since it uses more digits than its factorization.

123013234220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407940617 (or 6407940605 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123013234220031 its reverse (130022432310321), we get a palindrome (253035666530352).

The spelling of 123013234220031 in words is "one hundred twenty-three trillion, thirteen billion, two hundred thirty-four million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 27 79 81 237 243 711 2133 6399 19197 6407940523 19223821569 57671464707 173014394121 506227301317 519043182363 1518681903951 1557129547089 4556045711853 13668137135559 41004411406677 123013234220031