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1010131031 = 72131585763
BaseRepresentation
bin111100001101010…
…110000001010111
32121101201222021102
4330031112001113
54032043143111
6244122340315
734013654300
oct7415260127
92541658242
101010131031
11479213438
1224235a69b
13131376590
14982277a7
155da3313b
hex3c356057

1010131031 has 12 divisors (see below), whose sum is σ = 1265439672. Its totient is φ = 799224048.

The previous prime is 1010131021. The next prime is 1010131099. The reversal of 1010131031 is 1301310101.

It is a happy number.

1010131031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010131031 - 26 = 1010130967 is a prime.

It is a super-2 number, since 2×10101310312 = 2040729399578245922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010131021) 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, 792245 + ... + 793518.

It is an arithmetic number, because the mean of its divisors is an integer number (105453306).

Almost surely, 21010131031 is an apocalyptic number.

1010131031 is a deficient number, since it is larger than the sum of its proper divisors (255308641).

1010131031 is a wasteful number, since it uses less digits than its factorization.

1010131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585790 (or 1585783 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1010131031 is about 31782.5585974446. The cubic root of 1010131031 is about 1003.3656698910.

Adding to 1010131031 its reverse (1301310101), we get a palindrome (2311441132).

The spelling of 1010131031 in words is "one billion, ten million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 7 13 49 91 637 1585763 11100341 20614919 77702387 144304433 1010131031