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123113432114031 = 31715312902154331
BaseRepresentation
bin11011111111100010010100…
…011000110110001101101111
3121010220112021202120202010010
4123333202110120312031233
5112114042302110122111
61113501310244144303
734634436421411122
oct3377422430661557
9533815252522103
10123113432114031
1136256127960077
121198425b398093
135390715514878
142258a16cb63b9
15e376e243eaa6
hex6ff89463636f

123113432114031 has 32 divisors (see below), whose sum is σ = 173929917724416. Its totient is φ = 77193107136000.

The previous prime is 123113432114003. The next prime is 123113432114119. The reversal of 123113432114031 is 130411234311321.

It is a happy number.

It is not a de Polignac number, because 123113432114031 - 221 = 123113430016879 is a prime.

It is a super-2 number, since 2×1231134321140312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123113432114031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113432114731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265961536 + ... + 2266015866.

It is an arithmetic number, because the mean of its divisors is an integer number (5435309928888).

Almost surely, 2123113432114031 is an apocalyptic number.

123113432114031 is a deficient number, since it is larger than the sum of its proper divisors (50816485610385).

123113432114031 is a wasteful number, since it uses less digits than its factorization.

123113432114031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84903.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 123113432114031 its reverse (130411234311321), we get a palindrome (253524666425352).

The spelling of 123113432114031 in words is "one hundred twenty-three trillion, one hundred thirteen billion, four hundred thirty-two million, one hundred fourteen thousand, thirty-one".

Divisors: 1 3 17 51 1531 4593 26027 29021 54331 78081 87063 162993 493357 923627 1480071 2770881 44431151 83180761 133293453 249542283 755329567 1414072937 1576739951 2265988701 4242218811 4730219853 26804579167 80413737501 2413988864981 7241966594943 41037810704677 123113432114031