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2123431121 = 72173976421
BaseRepresentation
bin111111010010000…
…1111110011010001
312110222121110220002
41332210033303101
513322044243441
6550412255345
7103422603200
oct17644176321
95428543802
102123431121
1199a692259
124b3171555
1327ac02c26
14162029237
15c6644b9b
hex7e90fcd1

2123431121 has 24 divisors (see below), whose sum is σ = 2622410856. Its totient is φ = 1708439040.

The previous prime is 2123431109. The next prime is 2123431133. The reversal of 2123431121 is 1211343212.

It is an interprime number because it is at equal distance from previous prime (2123431109) and next prime (2123431133).

It can be written as a sum of positive squares in 4 ways, for example, as 508998721 + 1614432400 = 22561^2 + 40180^2 .

It is not a de Polignac number, because 2123431121 - 222 = 2119236817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123431093 and 2123431102.

It is not an unprimeable number, because it can be changed into a prime (2123431021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327491 + ... + 333911.

It is an arithmetic number, because the mean of its divisors is an integer number (109267119).

Almost surely, 22123431121 is an apocalyptic number.

It is an amenable number.

2123431121 is a deficient number, since it is larger than the sum of its proper divisors (498979735).

2123431121 is a wasteful number, since it uses less digits than its factorization.

2123431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849 (or 6842 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 2123431121 is about 46080.7022624439. The cubic root of 2123431121 is about 1285.3243229474.

Adding to 2123431121 its reverse (1211343212), we get a palindrome (3334774333).

The spelling of 2123431121 in words is "two billion, one hundred twenty-three million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 397 833 2779 6421 6749 19453 44947 47243 109157 314629 330701 764099 2549137 5348693 17843959 43335329 124907713 303347303 2123431121