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2132310313 = 7243516537
BaseRepresentation
bin111111100011000…
…0111100100101001
312111121022120212001
41333012013210221
513331332412223
6551330451001
7103561224100
oct17706074451
95447276761
102132310313
119a46a7331
124b6133a61
1327c9c15a3
1416329b037
15c72ea9ad
hex7f187929

2132310313 has 6 divisors (see below), whose sum is σ = 2480442666. Its totient is φ = 1827694512.

The previous prime is 2132310311. The next prime is 2132310317. The reversal of 2132310313 is 3130132312.

It can be written as a sum of positive squares in only one way, i.e., 1800050329 + 332259984 = 42427^2 + 18228^2 .

It is not a de Polignac number, because 2132310313 - 21 = 2132310311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2132310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21758220 + ... + 21758317.

It is an arithmetic number, because the mean of its divisors is an integer number (413407111).

Almost surely, 22132310313 is an apocalyptic number.

It is an amenable number.

2132310313 is a deficient number, since it is larger than the sum of its proper divisors (348132353).

2132310313 is an equidigital number, since it uses as much as digits as its factorization.

2132310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43516551 (or 43516544 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2132310313 is about 46176.9456872150. The cubic root of 2132310313 is about 1287.1133725580.

Adding to 2132310313 its reverse (3130132312), we get a palindrome (5262442625).

It can be divided in two parts, 2132 and 310313, that added together give a triangular number (312445 = T790).

The spelling of 2132310313 in words is "two billion, one hundred thirty-two million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 7 49 43516537 304615759 2132310313