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103001302131 = 37132913010143
BaseRepresentation
bin101111111101101011…
…0110010010001110011
3100211212100010021202220
41133323112302101303
53141421313132011
6115152415212123
710304316423330
oct1377326622163
9324770107686
10103001302131
113a756605892
1217b66b17043
13993655b870
144db18c5987
152a2c989506
hex17fb5b2473

103001302131 has 32 divisors (see below), whose sum is σ = 174856335360. Its totient is φ = 52456892544.

The previous prime is 103001302087. The next prime is 103001302139. The reversal of 103001302131 is 131203100301.

It is not a de Polignac number, because 103001302131 - 214 = 103001285747 is a prime.

It is a super-2 number, since 2×1030013021312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103001302131.

It is not an unprimeable number, because it can be changed into a prime (103001302139) 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 31 ways as a sum of consecutive naturals, for example, 6497155 + ... + 6512988.

It is an arithmetic number, because the mean of its divisors is an integer number (5464260480).

Almost surely, 2103001302131 is an apocalyptic number.

103001302131 is a deficient number, since it is larger than the sum of its proper divisors (71855033229).

103001302131 is a wasteful number, since it uses less digits than its factorization.

103001302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13010195.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103001302131 its reverse (131203100301), we get a palindrome (234204402432).

The spelling of 103001302131 in words is "one hundred three billion, one million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 29 39 87 91 203 273 377 609 1131 2639 7917 13010143 39030429 91071001 169131859 273213003 377294147 507395577 1131882441 1183923013 2641059029 3551769039 4904823911 7923177087 14714471733 34333767377 103001302131