Search a number
-
+
103431313224 = 23322450958613
BaseRepresentation
bin110000001010011111…
…1001001011101001000
3100212222022021010002200
41200110333021131020
53143311404010344
6115303220000200
710321060441101
oct1402477113510
9325868233080
10103431313224
113a957309558
1218066b30060
1399a467a1b5
145012a5d3a8
152a555ca069
hex1814fc9748

103431313224 has 48 divisors (see below), whose sum is σ = 280142682300. Its totient is φ = 34475109504.

The previous prime is 103431313201. The next prime is 103431313231. The reversal of 103431313224 is 422313134301.

It is a happy number.

103431313224 is a `hidden beast` number, since 1 + 0 + 3 + 431 + 3 + 1 + 3 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68953508100 + 34477805124 = 262590^2 + 185682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1735342 + ... + 1793954.

Almost surely, 2103431313224 is an apocalyptic number.

It is an amenable number.

103431313224 is an abundant number, since it is smaller than the sum of its proper divisors (176711369076).

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

103431313224 is a wasteful number, since it uses less digits than its factorization.

103431313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83134 (or 83127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103431313224 its reverse (422313134301), we get a palindrome (525744447525).

The spelling of 103431313224 in words is "one hundred three billion, four hundred thirty-one million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 24509 49018 58613 73527 98036 117226 147054 175839 196072 220581 234452 294108 351678 441162 468904 527517 588216 703356 882324 1055034 1406712 1764648 2110068 4220136 1436546017 2873092034 4309638051 5746184068 8619276102 11492368136 12928914153 17238552204 25857828306 34477104408 51715656612 103431313224