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113322202112031 = 311171943247246463
BaseRepresentation
bin11001110001000011100001…
…100110100010000000011111
3112212020111102002221020100220
4121301003201212202000133
5104323132332220041111
61041003300112452423
732604154544530023
oct3161034146420037
9485214362836326
10113322202112031
1133120748874590
121086272824a113
134b303125c8653
141ddab768cc383
15d17b85868e06
hex6710e19a201f

113322202112031 has 64 divisors (see below), whose sum is σ = 187986431508480. Its totient is φ = 59813864087040.

The previous prime is 113322202111973. The next prime is 113322202112051. The reversal of 113322202112031 is 130211202223311.

It is not a de Polignac number, because 113322202112031 - 211 = 113322202109983 is a prime.

It is a super-2 number, since 2×1133222021120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113322202111992 and 113322202112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322202112051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123164895 + ... + 124081568.

It is an arithmetic number, because the mean of its divisors is an integer number (2937287992320).

Almost surely, 2113322202112031 is an apocalyptic number.

113322202112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113322202112031 is a deficient number, since it is larger than the sum of its proper divisors (74664229396449).

113322202112031 is a wasteful number, since it uses less digits than its factorization.

113322202112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247246556.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113322202112031 its reverse (130211202223311), we get a palindrome (243533404335342).

The spelling of 113322202112031 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred two million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 11 17 19 33 43 51 57 129 187 209 323 473 561 627 731 817 969 1419 2193 2451 3553 8041 8987 10659 13889 24123 26961 41667 152779 458337 247246463 741739389 2719711093 4203189871 4697682797 8159133279 10631597909 12609569613 14093048391 31894793727 46235088581 51674510767 79860607549 116947576999 138705265743 155023532301 180737164453 202000360271 239581822647 350842730997 542211493359 606001080813 878466683039 1988108808983 2222003962981 2635400049117 3434006124607 5964326426949 6666011888943 10302018373821 37774067370677 113322202112031