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1003131110323 = 23271337479997
BaseRepresentation
bin11101001100011110100…
…01100000001110110011
310112220020221011022101001
432212033101200032303
5112413403031012243
62044455421022431
7132321344515366
oct16461721401663
93486227138331
101003131110323
113574753a6481
121424b66b4a17
1373796b97044
14367a221c0dd
151b1615a7a4d
hexe98f4603b3

1003131110323 has 32 divisors (see below), whose sum is σ = 1056984514560. Its totient is φ = 950195473920.

The previous prime is 1003131110309. The next prime is 1003131110357. The reversal of 1003131110323 is 3230111313001.

1003131110323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003131110323 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003131110323.

It is not an unprimeable number, because it can be changed into a prime (1003131110363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006149061 + ... + 1006150057.

It is an arithmetic number, because the mean of its divisors is an integer number (33030766080).

Almost surely, 21003131110323 is an apocalyptic number.

1003131110323 is a deficient number, since it is larger than the sum of its proper divisors (53853404237).

1003131110323 is a wasteful number, since it uses less digits than its factorization.

1003131110323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1003131110323 its reverse (3230111313001), we get a palindrome (4233242423324).

The spelling of 1003131110323 in words is "one trillion, three billion, one hundred thirty-one million, one hundred ten thousand, three hundred twenty-three".

Divisors: 1 23 271 337 479 997 6233 7751 11017 22931 91327 129809 161423 270187 335989 477563 2100521 2985607 3712729 6214301 7727747 10983949 43745633 91053019 129419573 160938731 1006149559 2094219437 2976650179 3701590813 43614396101 1003131110323