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2134408100 = 2252111940371
BaseRepresentation
bin111111100111000…
…0111101110100100
312111202021011110212
41333032013232210
513332402024400
6551443434552
7103615112066
oct17716075644
95452234425
102134408100
119a58aa440
124b6985a58
13280277396
14163685736
15c75b2335
hex7f387ba4

2134408100 has 36 divisors (see below), whose sum is σ = 5052728688. Its totient is φ = 776148000.

The previous prime is 2134408097. The next prime is 2134408139. The reversal of 2134408100 is 18044312.

It is a super-2 number, since 2×21344081002 = 9111395874691220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969086 + ... + 971285.

Almost surely, 22134408100 is an apocalyptic number.

2134408100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134408100 is an abundant number, since it is smaller than the sum of its proper divisors (2918320588).

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

2134408100 is a wasteful number, since it uses less digits than its factorization.

2134408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940396 (or 1940389 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2134408100 is about 46199.6547606148. The cubic root of 2134408100 is about 1287.5353256402.

The spelling of 2134408100 in words is "two billion, one hundred thirty-four million, four hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1940371 3880742 7761484 9701855 19403710 21344081 38807420 42688162 48509275 85376324 97018550 106720405 194037100 213440810 426881620 533602025 1067204050 2134408100