Search a number
-
+
131141230330341 = 37111733281566207
BaseRepresentation
bin11101110100010110110010…
…011100110000000111100101
3122012022222102211012211221110
4131310112302130300013211
5114142104214431032331
61142525241032335233
736423432640360650
oct3564266234600745
9565288384184843
10131141230330341
11388707577496a0
1212860070844519
13582374629661a
1424553ab3ba897
15102643ea5d946
hex7745b27301e5

131141230330341 has 32 divisors (see below), whose sum is σ = 219261127753728. Its totient is φ = 67731526491840.

The previous prime is 131141230330333. The next prime is 131141230330367. The reversal of 131141230330341 is 143033032141131.

It is a happy number.

It is not a de Polignac number, because 131141230330341 - 23 = 131141230330333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131141230330299 and 131141230330308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141230330841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640743141 + ... + 1640823066.

It is an arithmetic number, because the mean of its divisors is an integer number (6851910242304).

Almost surely, 2131141230330341 is an apocalyptic number.

131141230330341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131141230330341 is a deficient number, since it is larger than the sum of its proper divisors (88119897423387).

131141230330341 is a wasteful number, since it uses less digits than its factorization.

131141230330341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281566401.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 131141230330341 its reverse (143033032141131), we get a palindrome (274174262471472).

The spelling of 131141230330341 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred thirty million, three hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 7 11 21 33 77 173 231 519 1211 1903 3633 5709 13321 39963 3281566207 9844698621 22970963449 36097228277 68912890347 108291684831 252680597939 567710953811 758041793817 1703132861433 3973976676677 6244820491921 11921930030031 18734461475763 43713743443447 131141230330341