Search a number
-
+
115680136221 = 3213988719113
BaseRepresentation
bin110101110111100010…
…0101100110000011101
3102001120221120210102200
41223233010230300131
53343403103324341
6125050454442113
711233442635236
oct1535704546035
9361527523380
10115680136221
114507246a571
121a505063339
13aba7231760
14585572c08d
153020aeadb6
hex1aef12cc1d

115680136221 has 12 divisors (see below), whose sum is σ = 179946878748. Its totient is φ = 71187776064.

The previous prime is 115680136213. The next prime is 115680136259. The reversal of 115680136221 is 122631086511.

115680136221 is a `hidden beast` number, since 1 + 1 + 568 + 0 + 13 + 62 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36333696996 + 79346439225 = 190614^2 + 281685^2 .

It is not a de Polignac number, because 115680136221 - 23 = 115680136213 is a prime.

It is a super-3 number, since 3×1156801362213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115680136211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494359440 + ... + 494359673.

It is an arithmetic number, because the mean of its divisors is an integer number (14995573229).

Almost surely, 2115680136221 is an apocalyptic number.

It is an amenable number.

115680136221 is a deficient number, since it is larger than the sum of its proper divisors (64266742527).

115680136221 is a wasteful number, since it uses less digits than its factorization.

115680136221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988719132 (or 988719129 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 115680136221 in words is "one hundred fifteen billion, six hundred eighty million, one hundred thirty-six thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 988719113 2966157339 8898472017 12853348469 38560045407 115680136221