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112202131321031 = 2323113411510179
BaseRepresentation
bin11001100000110000011000…
…001011100011000011000111
3112201021102022110010122101112
4121200300120023203003013
5104201304431104233111
61034344540400315235
732430223261065563
oct3140603013430307
9481242273118345
10112202131321031
1132829725033214
1210701636912b1b
134a7b80058abab
141d9c87d9926a3
15ce897cd16e8b
hex660c182e30c7

112202131321031 has 24 divisors (see below), whose sum is σ = 121085484495360. Its totient is φ = 103853772356400.

The previous prime is 112202131321019. The next prime is 112202131321067. The reversal of 112202131321031 is 130123131202211.

It is a happy number.

It is not a de Polignac number, because 112202131321031 - 210 = 112202131320007 is a prime.

It is a super-2 number, since 2×1122021313210312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112202131320988 and 112202131321006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202131321531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219671900 + ... + 220182078.

It is an arithmetic number, because the mean of its divisors is an integer number (5045228520640).

Almost surely, 2112202131321031 is an apocalyptic number.

112202131321031 is a deficient number, since it is larger than the sum of its proper divisors (8883353174329).

112202131321031 is a wasteful number, since it uses less digits than its factorization.

112202131321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523667 (or 523644 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 112202131321031 its reverse (130123131202211), we get a palindrome (242325262523242).

The spelling of 112202131321031 in words is "one hundred twelve trillion, two hundred two billion, one hundred thirty-one million, three hundred twenty-one thousand, thirty-one".

Divisors: 1 23 31 529 713 13411 16399 308453 415741 510179 7094419 9562043 11734117 15815549 219926989 269884691 363757627 6842010569 8366425421 157366243087 212102327639 3619423591001 4878353535697 112202131321031