Search a number
-
+
131413103301031 = 1951107867624443
BaseRepresentation
bin11101111000010011111111…
…010101110101000110100111
3122020021222012010011202002021
4131320103333111311012213
5114211033013421113111
61143254202441524011
736452166130450366
oct3570237725650647
9566258163152067
10131413103301031
1138965a90976522
12128a48a64a3607
135843282a8bc06
1424645dcb437dd
15102d552c62d71
hex7784ff5751a7

131413103301031 has 8 divisors (see below), whose sum is σ = 131481889565184. Its totient is φ = 131344318505400.

The previous prime is 131413103300933. The next prime is 131413103301127. The reversal of 131413103301031 is 130103301314131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131413103301031 - 215 = 131413103268263 is a prime.

It is a super-2 number, since 2×1314131033010312 (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 = 131413103300987 and 131413103301005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413103302031) 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 7 ways as a sum of consecutive naturals, for example, 210136296 + ... + 210760738.

It is an arithmetic number, because the mean of its divisors is an integer number (16435236195648).

Almost surely, 2131413103301031 is an apocalyptic number.

131413103301031 is a deficient number, since it is larger than the sum of its proper divisors (68786264153).

131413103301031 is a wasteful number, since it uses less digits than its factorization.

131413103301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734261.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131413103301031 its reverse (130103301314131), we get a palindrome (261516404615162).

The spelling of 131413103301031 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred three million, three hundred one thousand, thirty-one".

Divisors: 1 1951 107867 624443 210448517 1218288293 67356793081 131413103301031