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123031434202245 = 32514927529666541
BaseRepresentation
bin11011111110010101111100…
…111011101000110010000101
3121010121200122012001020101100
4123332111330323220302011
5112111221334123432440
61113355505520250313
734625504426562612
oct3376257473506205
9533550565036340
10123031434202245
113622437a203328
1211970396470999
135385a784b703a
142254a78a67509
15e354e3872230
hex6fe57cee8c85

123031434202245 has 48 divisors (see below), whose sum is σ = 214693844742000. Its totient is φ = 65173918602240.

The previous prime is 123031434202231. The next prime is 123031434202247. The reversal of 123031434202245 is 542202434130321.

123031434202245 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 1 + 4 + 3 + 420 + 224 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48537946418724 + 74493487783521 = 6966918^2 + 8630961^2 .

It is not a de Polignac number, because 123031434202245 - 25 = 123031434202213 is a prime.

It is a super-2 number, since 2×1230314342022452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123031434202247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184248675 + ... + 184915215.

It is an arithmetic number, because the mean of its divisors is an integer number (4472788432125).

Almost surely, 2123031434202245 is an apocalyptic number.

123031434202245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123031434202245 is a deficient number, since it is larger than the sum of its proper divisors (91662410539755).

123031434202245 is a wasteful number, since it uses less digits than its factorization.

123031434202245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694230 (or 694227 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 123031434202245 its reverse (542202434130321), we get a palindrome (665233868332566).

The spelling of 123031434202245 in words is "one hundred twenty-three trillion, thirty-one billion, four hundred thirty-four million, two hundred two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 27529 82587 137645 247761 412935 666541 1238805 1999623 3332705 4101821 5998869 9998115 12305463 20509105 29994345 36916389 61527315 99314609 184581945 297943827 496573045 893831481 1489719135 4469157405 18349207189 55047621567 91746035945 165142864701 275238107835 825714323505 2734031871161 8202095613483 13670159355805 24606286840449 41010478067415 123031434202245