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103301330031 = 3215677324777
BaseRepresentation
bin110000000110100111…
…1010011010001101111
3100212122020200021200100
41200031033103101233
53143030120030111
6115242254002143
710314621550254
oct1401517232157
9325566607610
10103301330031
113a89a9a9229
121802b4a6353
139983769273
144ddd6a542b
152a48ea1756
hex180d3d346f

103301330031 has 12 divisors (see below), whose sum is σ = 149308274752. Its totient is φ = 68823595296.

The previous prime is 103301330023. The next prime is 103301330053. The reversal of 103301330031 is 130033103301.

103301330031 is a `hidden beast` number, since 1 + 0 + 3 + 301 + 330 + 0 + 31 = 666.

It is not a de Polignac number, because 103301330031 - 23 = 103301330023 is a prime.

It is a super-2 number, since 2×1033013300312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103301329986 and 103301330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301335031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3648286 + ... + 3676491.

Almost surely, 2103301330031 is an apocalyptic number.

103301330031 is a deficient number, since it is larger than the sum of its proper divisors (46006944721).

103301330031 is a wasteful number, since it uses less digits than its factorization.

103301330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326350 (or 7326347 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103301330031 its reverse (130033103301), we get a palindrome (233334433332).

The spelling of 103301330031 in words is "one hundred three billion, three hundred one million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 9 1567 4701 14103 7324777 21974331 65922993 11477925559 34433776677 103301330031