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1023113120031 = 32195983117661
BaseRepresentation
bin11101110001101100100…
…10110100100100011111
310121210211111211120120200
432320312102310210133
5113230313424320111
62102002304514543
7133626461013432
oct16706622644437
93553744746520
101023113120031
11364999758092
1214635261ba53
137562c913222
1437739d7d819
151b93096d256
hexee364b491f

1023113120031 has 12 divisors (see below), whose sum is σ = 1555610592120. Its totient is φ = 646176707280.

The previous prime is 1023113120021. The next prime is 1023113120063. The reversal of 1023113120031 is 1300213113201.

1023113120031 is a `hidden beast` number, since 10 + 2 + 311 + 312 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 1023113120031 - 25 = 1023113119999 is a prime.

It is a super-2 number, since 2×10231131200312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023113119986 and 1023113120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023113120021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2991558660 + ... + 2991559001.

It is an arithmetic number, because the mean of its divisors is an integer number (129634216010).

Almost surely, 21023113120031 is an apocalyptic number.

1023113120031 is a deficient number, since it is larger than the sum of its proper divisors (532497472089).

1023113120031 is a wasteful number, since it uses less digits than its factorization.

1023113120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983117686 (or 5983117683 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1023113120031 its reverse (1300213113201), we get a palindrome (2323326233232).

The spelling of 1023113120031 in words is "one trillion, twenty-three billion, one hundred thirteen million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 19 57 171 5983117661 17949352983 53848058949 113679235559 341037706677 1023113120031