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11318832100 = 2252106392
BaseRepresentation
bin10101000101010011…
…11010101111100100
31002012211101020122201
422202221322233210
5141140110111400
65111053504244
7550330325332
oct124251725744
932184336581
1011318832100
1148892050a4
12223a7a2084
1310b4cba0b4
14795386b52
15463a6d06a
hex2a2a7abe4

11318832100 has 27 divisors (see below), whose sum is σ = 24564174537. Its totient is φ = 4527107280.

The previous prime is 11318832017. The next prime is 11318832193. The reversal of 11318832100 is 123881311.

The square root of 11318832100 is 106390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4074779556 + 7244052544 = 63834^2 + 85112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1058581 + ... + 1069219.

Almost surely, 211318832100 is an apocalyptic number.

11318832100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11318832100 is the 106390-th square number.

It is an amenable number.

11318832100 is an abundant number, since it is smaller than the sum of its proper divisors (13245342437).

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

11318832100 is an frugal number, since it uses more digits than its factorization.

11318832100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21292 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 11318832100 in words is "eleven billion, three hundred eighteen million, eight hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10639 21278 42556 53195 106390 212780 265975 531950 1063900 113188321 226376642 452753284 565941605 1131883210 2263766420 2829708025 5659416050 11318832100