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1031312302013 = 7273288317669
BaseRepresentation
bin11110000000111110000…
…00001101111110111101
310122120222221001011210102
433000133000031332331
5113344111422131023
62105440041450445
7134336610633200
oct17003700157675
93576887034712
101031312302013
113684169a9944
12147a604a0a25
13763384b51b6
1437cb6c95937
151bc606b0628
hexf01f00dfbd

1031312302013 has 12 divisors (see below), whose sum is σ = 1216123932060. Its totient is φ = 871872628032.

The previous prime is 1031312301973. The next prime is 1031312302043. The reversal of 1031312302013 is 3102032131301.

It can be written as a sum of positive squares in 2 ways, for example, as 481277962564 + 550034339449 = 693742^2 + 741643^2 .

It is a de Polignac number, because none of the positive numbers 2k-1031312302013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031312302043) 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, 144155258 + ... + 144162411.

It is an arithmetic number, because the mean of its divisors is an integer number (101343661005).

Almost surely, 21031312302013 is an apocalyptic number.

It is an amenable number.

1031312302013 is a deficient number, since it is larger than the sum of its proper divisors (184811630047).

1031312302013 is an equidigital number, since it uses as much as digits as its factorization.

1031312302013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288317756 (or 288317749 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1031312302013 its reverse (3102032131301), we get a palindrome (4133344433314).

The spelling of 1031312302013 in words is "one trillion, thirty-one billion, three hundred twelve million, three hundred two thousand, thirteen".

Divisors: 1 7 49 73 511 3577 288317669 2018223683 14127565781 21047189837 147330328859 1031312302013