Search a number
-
+
131302313021 = 1197689917837
BaseRepresentation
bin111101001001000111…
…0100100110000111101
3110112220200110121020102
41322102032210300331
54122401343004041
6140153000130445
712325536150215
oct1722216446075
9415820417212
10131302313021
1150759807190
1221544a66a25
13c4c693c559
1464d842d245
15363735e09b
hex1e923a4c3d

131302313021 has 16 divisors (see below), whose sum is σ = 144744667200. Its totient is φ = 118111418880.

The previous prime is 131302313017. The next prime is 131302313029. The reversal of 131302313021 is 120313203131.

It is a cyclic number.

It is not a de Polignac number, because 131302313021 - 22 = 131302313017 is a prime.

It is a super-2 number, since 2×1313023130212 (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 = 131302312984 and 131302313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302313029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7352315 + ... + 7370151.

It is an arithmetic number, because the mean of its divisors is an integer number (9046541700).

Almost surely, 2131302313021 is an apocalyptic number.

131302313021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131302313021 is a deficient number, since it is larger than the sum of its proper divisors (13442354179).

131302313021 is a wasteful number, since it uses less digits than its factorization.

131302313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24844.

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

Adding to 131302313021 its reverse (120313203131), we get a palindrome (251615516152).

The spelling of 131302313021 in words is "one hundred thirty-one billion, three hundred two million, three hundred thirteen thousand, twenty-one".

Divisors: 1 11 97 1067 6899 17837 75889 196207 669203 1730189 7361233 19032079 123057463 1353632093 11936573911 131302313021