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2122180083 = 32523145077
BaseRepresentation
bin111111001111101…
…1110010111110011
312110220020220210100
41332133132113303
513321234230313
6550325403443
7103406142642
oct17637362763
95426226710
102122180083
11999a08341
124b2869583
1327a88567a
14161bc1359
15c6499173
hex7e7de5f3

2122180083 has 12 divisors (see below), whose sum is σ = 3066025248. Its totient is φ = 1414484880.

The previous prime is 2122180079. The next prime is 2122180087. The reversal of 2122180083 is 3800812212.

It is an interprime number because it is at equal distance from previous prime (2122180079) and next prime (2122180087).

It is not a de Polignac number, because 2122180083 - 22 = 2122180079 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122180087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24541 + ... + 69617.

It is an arithmetic number, because the mean of its divisors is an integer number (255502104).

Almost surely, 22122180083 is an apocalyptic number.

2122180083 is a deficient number, since it is larger than the sum of its proper divisors (943845165).

2122180083 is a wasteful number, since it uses less digits than its factorization.

2122180083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50314 (or 50311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2122180083 is about 46067.1258382808. The cubic root of 2122180083 is about 1285.0718533405.

Adding to 2122180083 its reverse (3800812212), we get a palindrome (5922992295).

The spelling of 2122180083 in words is "two billion, one hundred twenty-two million, one hundred eighty thousand, eighty-three".

Divisors: 1 3 9 5231 15693 45077 47079 135231 405693 235797787 707393361 2122180083