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2312002133 = 748811093
BaseRepresentation
bin1000100111001110…
…0101101001010101
312222010102212200122
42021303211221111
514213333032013
61021230121325
7111202460000
oct21163455125
95863385618
102312002133
11a87079471
12546350245
132aacb80cc
1417d0b4537
15d7e92a08
hex89ce5a55

2312002133 has 20 divisors (see below), whose sum is σ = 2702707308. Its totient is φ = 1977655680.

The previous prime is 2312002117. The next prime is 2312002139. The reversal of 2312002133 is 3312002132.

2312002133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1509866449 + 802135684 = 38857^2 + 28322^2 .

It is not a de Polignac number, because 2312002133 - 24 = 2312002117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312002139) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2114735 + ... + 2115827.

Almost surely, 22312002133 is an apocalyptic number.

It is an amenable number.

2312002133 is a deficient number, since it is larger than the sum of its proper divisors (390705175).

2312002133 is an frugal number, since it uses more digits than its factorization.

2312002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2312002133 is about 48083.2833009561. The cubic root of 2312002133 is about 1322.2982103324.

Adding to 2312002133 its reverse (3312002132), we get a palindrome (5624004265).

Subtracting 2312002133 from its reverse (3312002132), we obtain a palindrome (999999999).

The spelling of 2312002133 in words is "two billion, three hundred twelve million, two thousand, one hundred thirty-three".

Divisors: 1 7 49 343 881 1093 2401 6167 7651 43169 53557 302183 374899 962933 2115281 2624293 6740531 47183717 330286019 2312002133