Search a number
-
+
10024313124 = 2237119337061
BaseRepresentation
bin10010101010111111…
…01110000100100100
3221212121111212110110
421111133232010210
5131012211004444
64334411453020
7503261153460
oct112537560444
927777455413
1010024313124
114284510901
121b39157170
13c39a50b37
146b14914a0
153da0b1cb9
hex2557ee124

10024313124 has 24 divisors (see below), whose sum is σ = 26731501888. Its totient is φ = 2864089440.

The previous prime is 10024313119. The next prime is 10024313141. The reversal of 10024313124 is 42131342001.

10024313124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10024313124.

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 7 ways as a sum of consecutive naturals, for example, 59668447 + ... + 59668614.

Almost surely, 210024313124 is an apocalyptic number.

10024313124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10024313124 is an abundant number, since it is smaller than the sum of its proper divisors (16707188764).

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

10024313124 is a wasteful number, since it uses less digits than its factorization.

10024313124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119337075 (or 119337073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10024313124 its reverse (42131342001), we get a palindrome (52155655125).

The spelling of 10024313124 in words is "ten billion, twenty-four million, three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 119337061 238674122 358011183 477348244 716022366 835359427 1432044732 1670718854 2506078281 3341437708 5012156562 10024313124