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2123010113 = 72109397493
BaseRepresentation
bin111111010001010…
…1001000001000001
312110221211002101012
41332202221001001
513321442310423
6550355250305
7103416200600
oct17642510101
95427732335
102123010113
1199a424a14
124b2ba9995
1327aab6403
14161d59a37
15c65b0078
hex7e8a9041

2123010113 has 12 divisors (see below), whose sum is σ = 2492287380. Its totient is φ = 1803023712.

The previous prime is 2123010103. The next prime is 2123010137. The reversal of 2123010113 is 3110103212.

It can be written as a sum of positive squares in 2 ways, for example, as 1712056129 + 410953984 = 41377^2 + 20272^2 .

It is not a de Polignac number, because 2123010113 - 218 = 2122747969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2123010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193406 + ... + 204087.

It is an arithmetic number, because the mean of its divisors is an integer number (207690615).

Almost surely, 22123010113 is an apocalyptic number.

It is an amenable number.

2123010113 is a deficient number, since it is larger than the sum of its proper divisors (369277267).

2123010113 is a wasteful number, since it uses less digits than its factorization.

2123010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397616 (or 397609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2123010113 is about 46076.1338764441. The cubic root of 2123010113 is about 1285.2393711942.

Adding to 2123010113 its reverse (3110103212), we get a palindrome (5233113325).

The spelling of 2123010113 in words is "two billion, one hundred twenty-three million, ten thousand, one hundred thirteen".

Divisors: 1 7 49 109 763 5341 397493 2782451 19477157 43326737 303287159 2123010113