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2112331001 = 11239743973
BaseRepresentation
bin111110111100111…
…1001110011111001
312110012201112101112
41331321321303321
513311224043001
6545334330105
7103226342264
oct17571716371
95405645345
102112331001
119943a0600
124ab4b9935
13278817701
14160779cdb
15c56a0cbb
hex7de79cf9

2112331001 has 12 divisors (see below), whose sum is σ = 2327719716. Its totient is φ = 1915420320.

The previous prime is 2112330989. The next prime is 2112331007. The reversal of 2112331001 is 1001332112.

It can be written as a sum of positive squares in 2 ways, for example, as 1219755625 + 892575376 = 34925^2 + 29876^2 .

It is a de Polignac number, because none of the positive numbers 2k-2112331001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112331007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26051 + ... + 70023.

It is an arithmetic number, because the mean of its divisors is an integer number (193976643).

Almost surely, 22112331001 is an apocalyptic number.

It is an amenable number.

2112331001 is a deficient number, since it is larger than the sum of its proper divisors (215388715).

2112331001 is a wasteful number, since it uses less digits than its factorization.

2112331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44392 (or 44381 counting only the distinct ones).

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

The square root of 2112331001 is about 45960.1022736025. The cubic root of 2112331001 is about 1283.0807548273.

Adding to 2112331001 its reverse (1001332112), we get a palindrome (3113663113).

The spelling of 2112331001 in words is "two billion, one hundred twelve million, three hundred thirty-one thousand, one".

Divisors: 1 11 121 397 4367 43973 48037 483703 5320733 17457281 192030091 2112331001