Search a number
-
+
100513532320 = 2552512502827
BaseRepresentation
bin101110110011100010…
…0101100100110100000
3100121102221221111011021
41131213010230212200
53121322431013240
6114101505455224
710155550633165
oct1354704544640
9317387844137
10100513532320
113969a2a5583
1217591941514
13962b022116
144c1733a06c
15293437754a
hex176712c9a0

100513532320 has 48 divisors (see below), whose sum is σ = 238409383968. Its totient is φ = 40045216000.

The previous prime is 100513532267. The next prime is 100513532333. The reversal of 100513532320 is 23235315001.

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, 1211254 + ... + 1291573.

It is an arithmetic number, because the mean of its divisors is an integer number (4966862166).

Almost surely, 2100513532320 is an apocalyptic number.

100513532320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100513532320 is an abundant number, since it is smaller than the sum of its proper divisors (137895851648).

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

100513532320 is a wasteful number, since it uses less digits than its factorization.

100513532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503093 (or 2503085 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 100513532320 its reverse (23235315001), we get a palindrome (123748847321).

The spelling of 100513532320 in words is "one hundred billion, five hundred thirteen million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 2008 2510 4016 5020 8032 10040 20080 40160 2502827 5005654 10011308 12514135 20022616 25028270 40045232 50056540 80090464 100113080 200226160 400452320 628209577 1256419154 2512838308 3141047885 5025676616 6282095770 10051353232 12564191540 20102706464 25128383080 50256766160 100513532320