Search a number
-
+
103057526430 = 23251145083627
BaseRepresentation
bin101111111111010110…
…1010000111010011110
3100212000020220210000100
41133332231100322132
53142030211321210
6115202144241530
710305601343505
oct1377655207236
9325006823010
10103057526430
113a785317a51
1217b819102a6
1399450b6091
144db915d83c
152a328935c0
hex17feb50e9e

103057526430 has 24 divisors (see below), whose sum is σ = 267949568952. Its totient is φ = 27482007024.

The previous prime is 103057526393. The next prime is 103057526459. The reversal of 103057526430 is 34625750301.

103057526430 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 7 + 5 + 2 + 643 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572541724 + ... + 572541903.

It is an arithmetic number, because the mean of its divisors is an integer number (11164565373).

Almost surely, 2103057526430 is an apocalyptic number.

103057526430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103057526430 is an abundant number, since it is smaller than the sum of its proper divisors (164892042522).

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

103057526430 is a wasteful number, since it uses less digits than its factorization.

103057526430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145083640 (or 1145083637 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 103057526430 in words is "one hundred three billion, fifty-seven million, five hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1145083627 2290167254 3435250881 5725418135 6870501762 10305752643 11450836270 17176254405 20611505286 34352508810 51528763215 103057526430