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103131021331 = 13531097971723
BaseRepresentation
bin110000000001100010…
…1101000000000010011
3100212012101012201001201
41200003011220000103
53142203020140311
6115213331412031
710310453134402
oct1400305500023
9325171181051
10103131021331
113a812855838
1217ba2454017
1399573a95a0
144dc4c11639
152a3905e9c1
hex1803168013

103131021331 has 32 divisors (see below), whose sum is σ = 114407536320. Its totient is φ = 92375023104.

The previous prime is 103131021317. The next prime is 103131021403. The reversal of 103131021331 is 133120131301.

It is not a de Polignac number, because 103131021331 - 217 = 103130890259 is a prime.

It is a super-2 number, since 2×1031310213312 (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 = 103131021299 and 103131021308.

It is not an unprimeable number, because it can be changed into a prime (103131021731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59854636 + ... + 59856358.

It is an arithmetic number, because the mean of its divisors is an integer number (3575235510).

Almost surely, 2103131021331 is an apocalyptic number.

103131021331 is a deficient number, since it is larger than the sum of its proper divisors (11276514989).

103131021331 is a wasteful number, since it uses less digits than its factorization.

103131021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695.

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

Adding to 103131021331 its reverse (133120131301), we get a palindrome (236251152632).

The spelling of 103131021331 in words is "one hundred three billion, one hundred thirty-one million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 13 53 109 689 797 1417 1723 5777 10361 22399 42241 75101 86873 91319 187807 549133 1129349 1187147 1373231 2441491 4604269 9953771 17852003 59855497 72781243 129399023 149682179 946156159 1945868327 7933155487 103131021331