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2302313101 = 11222983089
BaseRepresentation
bin1000100100111010…
…1000001010001101
312221110012121211121
42021032220022031
514203343004401
61020242320541
7111024224044
oct21116501215
95843177747
102302313101
11a81660a00
12543059151
132a8ca4c5a
1417bab155b
15d71cbca1
hex893a828d

2302313101 has 12 divisors (see below), whose sum is σ = 2541723100. Its totient is φ = 2083847040.

The previous prime is 2302313099. The next prime is 2302313113. The reversal of 2302313101 is 1013132032.

It can be written as a sum of positive squares in 2 ways, for example, as 976625001 + 1325688100 = 31251^2 + 36410^2 .

It is not a de Polignac number, because 2302313101 - 21 = 2302313099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302313171) 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, 13836 + ... + 69253.

Almost surely, 22302313101 is an apocalyptic number.

It is an amenable number.

2302313101 is a deficient number, since it is larger than the sum of its proper divisors (239409999).

2302313101 is a wasteful number, since it uses less digits than its factorization.

2302313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83340 (or 83329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2302313101 is about 47982.4249178801. The cubic root of 2302313101 is about 1320.4484818663.

Adding to 2302313101 its reverse (1013132032), we get a palindrome (3315445133).

It can be divided in two parts, 230231 and 3101, that added together give a palindrome (233332).

The spelling of 2302313101 in words is "two billion, three hundred two million, three hundred thirteen thousand, one hundred one".

Divisors: 1 11 121 229 2519 27709 83089 913979 10053769 19027381 209301191 2302313101