Search a number
-
+
103140312414331 = 1770571735149549
BaseRepresentation
bin10111011100111000111001…
…101011101111100001111011
3111112012010011201010222101011
4113130320321223233201323
5102004322324434224311
61003210001100134351
730503433043221523
oct2734707153574173
9445163151128334
10103140312414331
112a95561954a555
12b699349b373b7
13457212219138a
141b68036a1c683
15bdcdb2397321
hex5dce39aef87b

103140312414331 has 16 divisors (see below), whose sum is σ = 109231364030400. Its totient is φ = 97051926988800.

The previous prime is 103140312414311. The next prime is 103140312414353. The reversal of 103140312414331 is 133414213041301.

It is a cyclic number.

It is not a de Polignac number, because 103140312414331 - 25 = 103140312414299 is a prime.

It is a super-2 number, since 2×1031403124143312 (a number of 29 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 = 103140312414293 and 103140312414302.

It is not an unprimeable number, because it can be changed into a prime (103140312414301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2081557345 + ... + 2081606893.

It is an arithmetic number, because the mean of its divisors is an integer number (6826960251900).

Almost surely, 2103140312414331 is an apocalyptic number.

103140312414331 is a deficient number, since it is larger than the sum of its proper divisors (6091051616069).

103140312414331 is a wasteful number, since it uses less digits than its factorization.

103140312414331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73974.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 103140312414331 its reverse (133414213041301), we get a palindrome (236554525455632).

The spelling of 103140312414331 in words is "one hundred three trillion, one hundred forty billion, three hundred twelve million, four hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 17 7057 17351 49549 119969 294967 842333 122446007 349667293 859724699 2081582119 5944343981 14615319883 6067077200843 103140312414331