Search a number
-
+
10345530100 = 2252103455301
BaseRepresentation
bin10011010001010010…
…00100001011110100
3222200222221101022111
421220221010023310
5132141423430400
64430324340404
7514241361223
oct115051041364
928628841274
1010345530100
114429866984
122008844704
13c8b469c59
14701dc8cba
154083b23ba
hex268a442f4

10345530100 has 18 divisors (see below), whose sum is σ = 22449800534. Its totient is φ = 4138212000.

The previous prime is 10345530059. The next prime is 10345530101. The reversal of 10345530100 is 103554301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1304943376 + 9040586724 = 36124^2 + 95082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345530101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51727551 + ... + 51727750.

Almost surely, 210345530100 is an apocalyptic number.

10345530100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345530100 is an abundant number, since it is smaller than the sum of its proper divisors (12104270434).

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

10345530100 is a wasteful number, since it uses less digits than its factorization.

10345530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103455315 (or 103455308 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 10345530100 in words is "ten billion, three hundred forty-five million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103455301 206910602 413821204 517276505 1034553010 2069106020 2586382525 5172765050 10345530100