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1313003311002 = 232158597459937
BaseRepresentation
bin10011000110110101000…
…110001000111110011010
311122112002110101002112100
4103012311012020332122
5133003012321423002
62443104013424230
7163601305666155
oct23066506107632
94575073332470
101313003311002
11466929159209
1219257619b076
1396a7b0881c6
144779a536c9c
152424a7cd11c
hex131b5188f9a

1313003311002 has 24 divisors (see below), whose sum is σ = 2844864630036. Its totient is φ = 437664059136.

The previous prime is 1313003310991. The next prime is 1313003311007. The reversal of 1313003311002 is 2001133003131.

It is a happy number.

1313003311002 is a `hidden beast` number, since 1 + 31 + 300 + 331 + 1 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 924349567761 + 388653743241 = 961431^2 + 623421^2 .

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 (1313003311007) 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, 2624778 + ... + 3084714.

Almost surely, 21313003311002 is an apocalyptic number.

1313003311002 is an abundant number, since it is smaller than the sum of its proper divisors (1531861319034).

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

1313003311002 is a wasteful number, since it uses less digits than its factorization.

1313003311002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618542 (or 618539 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313003311002 its reverse (2001133003131), we get a palindrome (3314136314133).

The spelling of 1313003311002 in words is "one trillion, three hundred thirteen billion, three million, three hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 158597 317194 459937 475791 919874 951582 1379811 1427373 2759622 2854746 4139433 8278866 72944628389 145889256778 218833885167 437667770334 656501655501 1313003311002