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1031103112131 = 34171939410737
BaseRepresentation
bin11110000000100101000…
…10001110001111000011
310122120110100102020020000
433000102202032033003
5113343144344042011
62105403210051043
7134331460562151
oct17002242161703
93576410366200
101031103112131
1136831990a444
12147a02419a83
1376304060cc1
1437c971a03d1
151bc4c13d356
hexf01288e3c3

1031103112131 has 40 divisors (see below), whose sum is σ = 1716731747280. Its totient is φ = 612915766272.

The previous prime is 1031103112087. The next prime is 1031103112147. The reversal of 1031103112131 is 1312113011301.

1031103112131 is a `hidden beast` number, since 10 + 311 + 0 + 311 + 2 + 1 + 31 = 666.

It is not a de Polignac number, because 1031103112131 - 214 = 1031103095747 is a prime.

It is a super-2 number, since 2×10311031121312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1031103112331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19679206 + ... + 19731531.

It is an arithmetic number, because the mean of its divisors is an integer number (42918293682).

Almost surely, 21031103112131 is an apocalyptic number.

1031103112131 is a deficient number, since it is larger than the sum of its proper divisors (685628635149).

1031103112131 is a wasteful number, since it uses less digits than its factorization.

1031103112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39410785 (or 39410776 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1031103112131 its reverse (1312113011301), we get a palindrome (2343216123432).

The spelling of 1031103112131 in words is "one trillion, thirty-one billion, one hundred three million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 323 459 513 969 1377 1539 2907 8721 26163 39410737 118232211 354696633 669982529 748804003 1064089899 2009947587 2246412009 3192269697 6029842761 6739236027 12729668051 18089528283 20217708081 38189004153 54268584849 60653124243 114567012459 343701037377 1031103112131