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112321133102031 = 37331367278915787
BaseRepresentation
bin11001100010011111001101…
…001111010100001111001111
3112201200210110212222110211220
4121202133031033110033033
5104210232140033231111
61034515341033414423
732441635246405530
oct3142371517241717
9481623425873756
10112321133102031
1132875141480657
121072070826a413
134a89ab6a0c919
141da452c4d2687
15cebae533de06
hex6627cd3d43cf

112321133102031 has 64 divisors (see below), whose sum is σ = 172213503344640. Its totient is φ = 63788316324480.

The previous prime is 112321133102021. The next prime is 112321133102041. The reversal of 112321133102031 is 130201331123211.

It is an interprime number because it is at equal distance from previous prime (112321133102021) and next prime (112321133102041).

It is not a de Polignac number, because 112321133102031 - 26 = 112321133101967 is a prime.

It is a super-2 number, since 2×1123211331020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112321133101992 and 112321133102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112321133102021) 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, 7114778520 + ... + 7114794306.

It is an arithmetic number, because the mean of its divisors is an integer number (2690835989760).

Almost surely, 2112321133102031 is an apocalyptic number.

112321133102031 is a deficient number, since it is larger than the sum of its proper divisors (59892370242609).

112321133102031 is a wasteful number, since it uses less digits than its factorization.

112321133102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19284.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 112321133102031 its reverse (130201331123211), we get a palindrome (242522464225242).

The spelling of 112321133102031 in words is "one hundred twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred two thousand, thirty-one".

Divisors: 1 3 7 21 331 367 993 1101 2317 2569 2789 6951 7707 8367 15787 19523 47361 58569 110509 121477 331527 364431 850339 923159 1023563 2551017 2769477 3070689 5225497 5793829 6462113 7164941 15676491 17381487 19386339 21494823 36578479 40556803 44029943 109735437 121670409 132089829 308209601 338799353 924628803 1016398059 1917757399 2371595471 5753272197 7114786413 13424301793 14573911133 16158989081 40272905379 43721733399 48476967243 102017377931 113112923567 306052133793 339338770701 5348625385811 16045876157433 37440377700677 112321133102031