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1023112131012 = 223276511371447
BaseRepresentation
bin11101110001101100011…
…11000011000111000100
310121210211102222022220100
432320312033003013010
5113230313201143022
62102002231404100
7133626446424126
oct16706617030704
93553742868810
101023112131012
11364999142014
12146352223630
137562c657cca
1437739ba3216
151b9308251ac
hexee363c31c4

1023112131012 has 36 divisors (see below), whose sum is σ = 2586240873216. Its totient is φ = 341032001520.

The previous prime is 1023112130987. The next prime is 1023112131017. The reversal of 1023112131012 is 2101312113201.

1023112131012 is a `hidden beast` number, since 1 + 0 + 231 + 121 + 310 + 1 + 2 = 666.

1023112131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1023112131017) 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, 2568673 + ... + 2940119.

It is an arithmetic number, because the mean of its divisors is an integer number (71840024256).

Almost surely, 21023112131012 is an apocalyptic number.

1023112131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023112131012 is an abundant number, since it is smaller than the sum of its proper divisors (1563128742204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023112131012 is a wasteful number, since it uses less digits than its factorization.

1023112131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447968 (or 447963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1023112131012 its reverse (2101312113201), we get a palindrome (3124424244213).

The spelling of 1023112131012 in words is "one trillion, twenty-three billion, one hundred twelve million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 76511 153022 229533 306044 371447 459066 688599 742894 918132 1114341 1377198 1485788 2228682 2754396 3343023 4457364 6686046 13372092 28419781417 56839562834 85259344251 113679125668 170518688502 255778032753 341037377004 511556065506 1023112131012