Search a number
-
+
131012221400415 = 32521649134481163
BaseRepresentation
bin11101110010011110101000…
…111010101111010101011111
3122011212122102222011011212200
4131302132220322233111133
5114133001012134303130
61142350103355302543
736411214656512505
oct3562365072572537
9564778388134780
10131012221400415
1138820a75554143
121283b067a4aa53
1358145268234b4
14244d04d7b6675
151022dddc15760
hex7727a8eaf55f

131012221400415 has 24 divisors (see below), whose sum is σ = 227098341646800. Its totient is φ = 69869956679424.

The previous prime is 131012221400387. The next prime is 131012221400449. The reversal of 131012221400415 is 514004122210131.

131012221400415 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 22 + 214 + 0 + 0 + 415 = 666.

It is not a de Polignac number, because 131012221400415 - 227 = 131012087182687 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66266377 + ... + 68214786.

It is an arithmetic number, because the mean of its divisors is an integer number (9462430901950).

Almost surely, 2131012221400415 is an apocalyptic number.

131012221400415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131012221400415 is a deficient number, since it is larger than the sum of its proper divisors (96086120246385).

131012221400415 is a wasteful number, since it uses less digits than its factorization.

131012221400415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134502823 (or 134502820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 131012221400415 its reverse (514004122210131), we get a palindrome (645016343610546).

The spelling of 131012221400415 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 21649 64947 108245 194841 324735 974205 134481163 403443489 672405815 1210330467 2017217445 6051652335 2911382697787 8734148093361 14556913488935 26202444280083 43670740466805 131012221400415