Search a number
-
+
10024134102 = 234592234703
BaseRepresentation
bin10010101010111110…
…00010010111010110
3221212121011202220000
421111133002113112
5131012134242402
64334403552130
7503256506523
oct112537022726
927777152800
1010024134102
1142843a9354
121b3908b646
13c399ba4c8
146b144614a
153da078c1c
hex2557c25d6

10024134102 has 80 divisors (see below), whose sum is σ = 22949498880. Its totient is φ = 3269319408.

The previous prime is 10024134089. The next prime is 10024134119. The reversal of 10024134102 is 20143142001.

10024134102 is a `hidden beast` number, since 10 + 0 + 241 + 3 + 410 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2129083 + ... + 2133785.

It is an arithmetic number, because the mean of its divisors is an integer number (286868736).

Almost surely, 210024134102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024134102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474749440).

10024134102 is an abundant number, since it is smaller than the sum of its proper divisors (12925364778).

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

10024134102 is a wasteful number, since it uses less digits than its factorization.

10024134102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10024134102 its reverse (20143142001), we get a palindrome (30167276103).

The spelling of 10024134102 in words is "ten billion, twenty-four million, one hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 223 354 446 531 669 1062 1338 1593 2007 3186 4014 4703 4779 6021 9406 9558 12042 13157 14109 18063 26314 28218 36126 39471 42327 78942 84654 118413 126981 236826 253962 277477 355239 380943 554954 710478 761886 832431 1048769 1065717 1664862 2097538 2131434 2497293 3146307 4994586 6292614 7491879 9438921 14983758 18877842 22475637 28316763 44951274 56633526 61877371 84950289 123754742 169900578 185632113 371264226 556896339 1113792678 1670689017 3341378034 5012067051 10024134102