Search a number
-
+
131024004032205 = 3254583635314103
BaseRepresentation
bin11101110010101001100111…
…001101111010011011001101
3122011220202212010020220002200
4131302221213031322123031
5114133144130013012310
61142355332502112113
736412112651313624
oct3562514715723315
9564822763226080
10131024004032205
1138825a7153a869
12128413b5a1b639
13581568392c47b
14244d84a5b06bb
15102337d34a9c0
hex772a6737a6cd

131024004032205 has 24 divisors (see below), whose sum is σ = 227157828513408. Its totient is φ = 69864221168736.

The previous prime is 131024004032171. The next prime is 131024004032213. The reversal of 131024004032205 is 502230400420131.

131024004032205 is a `hidden beast` number, since 1 + 3 + 10 + 2 + 40 + 0 + 403 + 2 + 205 = 666.

It is not a de Polignac number, because 131024004032205 - 228 = 131023735596749 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, 317450817 + ... + 317863286.

It is an arithmetic number, because the mean of its divisors is an integer number (9464909521392).

Almost surely, 2131024004032205 is an apocalyptic number.

131024004032205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131024004032205 is a deficient number, since it is larger than the sum of its proper divisors (96133824481203).

131024004032205 is a wasteful number, since it uses less digits than its factorization.

131024004032205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635318697 (or 635318694 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 131024004032205 its reverse (502230400420131), we get a palindrome (633254404452336).

The spelling of 131024004032205 in words is "one hundred thirty-one trillion, twenty-four billion, four million, thirty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 45 4583 13749 22915 41247 68745 206235 635314103 1905942309 3176570515 5717826927 9529711545 28589134635 2911644534049 8734933602147 14558222670245 26204800806441 43674668010735 131024004032205