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103300100232131 = 1117857644582209
BaseRepresentation
bin10111011111001101101101…
…110001111001001111000011
3111112202101121121010011010002
4113133031231301321033003
5102014432101124412011
61003411224431430215
730521120532241655
oct2737155561711703
9445671547104102
10103300100232131
112aa0736560a020
12b70430268536b
134584208499aaa
141b71a7429c6d5
15be21153c0c3b
hex5df36dc793c3

103300100232131 has 16 divisors (see below), whose sum is σ = 119459131814880. Its totient is φ = 88281979207680.

The previous prime is 103300100232083. The next prime is 103300100232151. The reversal of 103300100232131 is 131232001003301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103300100232131 is a prime.

It is a super-2 number, since 2×1033001002321312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103300100232151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322130846 + ... + 322451363.

It is an arithmetic number, because the mean of its divisors is an integer number (7466195738430).

Almost surely, 2103300100232131 is an apocalyptic number.

103300100232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103300100232131 is a deficient number, since it is larger than the sum of its proper divisors (16159031582749).

103300100232131 is a wasteful number, since it uses less digits than its factorization.

103300100232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644583094.

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

Adding to 103300100232131 its reverse (131232001003301), we get a palindrome (234532101235432).

The spelling of 103300100232131 in words is "one hundred three trillion, three hundred billion, one hundred million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 17 187 857 9427 14569 160259 644582209 7090404299 10957897553 120536873083 552406953113 6076476484243 9390918202921 103300100232131