Search a number
-
+
102304091304 = 233213710371461
BaseRepresentation
bin101111101000111001…
…1001000110010101000
3100210001202012022022200
41133101303020302220
53134004321410204
6114555311420200
710251122266602
oct1372163106250
9323052168280
10102304091304
113a428aa0a98
12179b1524660
139854c87b8c
144d47076172
1529db668539
hex17d1cc8ca8

102304091304 has 48 divisors (see below), whose sum is σ = 279096042420. Its totient is φ = 33852445440.

The previous prime is 102304091303. The next prime is 102304091339. The reversal of 102304091304 is 403190403201.

102304091304 is a `hidden beast` number, since 1 + 0 + 230 + 40 + 91 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90811822500 + 11492268804 = 301350^2 + 107202^2 .

It is a super-2 number, since 2×1023040913042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102304091303) 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, 5175867 + ... + 5195594.

Almost surely, 2102304091304 is an apocalyptic number.

It is an amenable number.

102304091304 is an abundant number, since it is smaller than the sum of its proper divisors (176791951116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102304091304 is a wasteful number, since it uses less digits than its factorization.

102304091304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371610 (or 10371603 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102304091304 its reverse (403190403201), we get a palindrome (505494494505).

The spelling of 102304091304 in words is "one hundred two billion, three hundred four million, ninety-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 10371461 20742922 31114383 41485844 62228766 82971688 93343149 124457532 186686298 248915064 373372596 746745192 1420890157 2841780314 4262670471 5683560628 8525340942 11367121256 12788011413 17050681884 25576022826 34101363768 51152045652 102304091304