Search a number
-
+
105004332520 = 2358331627811
BaseRepresentation
bin110000111001010111…
…1101111010111101000
3101001000221011202220121
41201302233233113220
53210022102120040
6120123251133024
710405051046143
oct1416257572750
9331027152817
10105004332520
11405942321aa
12184258a4174
139b95527349
14512192d05a
152ae8749c4a
hex1872bef5e8

105004332520 has 32 divisors (see below), whose sum is σ = 239106258720. Its totient is φ = 41495686720.

The previous prime is 105004332509. The next prime is 105004332527. The reversal of 105004332520 is 25233400501.

It is a super-2 number, since 2×1050043325202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105004332527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15810586 + ... + 15817225.

It is an arithmetic number, because the mean of its divisors is an integer number (7472070585).

Almost surely, 2105004332520 is an apocalyptic number.

105004332520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105004332520 is an abundant number, since it is smaller than the sum of its proper divisors (134101926200).

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

105004332520 is a wasteful number, since it uses less digits than its factorization.

105004332520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31627905 (or 31627901 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 105004332520 in words is "one hundred five billion, four million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 31627811 63255622 126511244 158139055 253022488 316278110 632556220 1265112440 2625108313 5250216626 10500433252 13125541565 21000866504 26251083130 52502166260 105004332520