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2113122100 = 2252171243013
BaseRepresentation
bin111110111110011…
…1010111100110100
312110021012201120111
41331330322330310
513311424401400
6545403312404
7103236145555
oct17574727464
95407181514
102113122100
11994890a01
124ab81b704
13278a3380b
1416090432c
15c57aa3ba
hex7df3af34

2113122100 has 36 divisors (see below), whose sum is σ = 4855212684. Its totient is φ = 795527680.

The previous prime is 2113122097. The next prime is 2113122127. The reversal of 2113122100 is 12213112.

It can be written as a sum of positive squares in 6 ways, for example, as 8514724 + 2104607376 = 2918^2 + 45876^2 .

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, 619807 + ... + 623206.

It is an arithmetic number, because the mean of its divisors is an integer number (134867019).

Almost surely, 22113122100 is an apocalyptic number.

2113122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113122100 is an abundant number, since it is smaller than the sum of its proper divisors (2742090584).

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

2113122100 is a wasteful number, since it uses less digits than its factorization.

2113122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243044 (or 1243037 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2113122100 is about 45968.7078347869. The cubic root of 2113122100 is about 1283.2409123676.

Adding to 2113122100 its reverse (12213112), we get a palindrome (2125335212).

The spelling of 2113122100 in words is "two billion, one hundred thirteen million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1243013 2486026 4972052 6215065 12430130 21131221 24860260 31075325 42262442 62150650 84524884 105656105 124301300 211312210 422624420 528280525 1056561050 2113122100