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1303110113031 = 32144790012559
BaseRepresentation
bin10010111101100111011…
…010100101011100000111
311121120112222120120020200
4102331213122211130013
5132322232142104111
62434350204101543
7163101166126326
oct22754732453407
94546488516220
101303110113031
11462711761141
12190674b348b3
1395b625535cc
14470dc6560bd
1523d6beba256
hex12f676a5707

1303110113031 has 6 divisors (see below), whose sum is σ = 1882270163280. Its totient is φ = 868740075348.

The previous prime is 1303110113021. The next prime is 1303110113057.

1303110113031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1303110113031 - 213 = 1303110104839 is a prime.

It is a super-2 number, since 2×13031101130312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303110112995 and 1303110113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303110113021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72395006271 + ... + 72395006288.

It is an arithmetic number, because the mean of its divisors is an integer number (313711693880).

Almost surely, 21303110113031 is an apocalyptic number.

1303110113031 is a deficient number, since it is larger than the sum of its proper divisors (579160050249).

1303110113031 is a wasteful number, since it uses less digits than its factorization.

1303110113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144790012565 (or 144790012562 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1303110 and 113031, that added together give a palindrome (1416141).

The spelling of 1303110113031 in words is "one trillion, three hundred three billion, one hundred ten million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 144790012559 434370037677 1303110113031