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3122020202213 = 112177297207997
BaseRepresentation
bin101101011011100110111…
…001111011011011100101
3102001110110221210210101202
4231123212321323123211
5402122344132432323
610350123011532245
7441362366601623
oct55334671733345
912043427723352
103122020202213
11aa4050016700
1242509a2ba085
13198536415aa3
14ab16c676513
1556326c4cd28
hex2d6e6e7b6e5

3122020202213 has 24 divisors (see below), whose sum is σ = 3634018753176. Its totient is φ = 2670868316160.

The previous prime is 3122020202177. The next prime is 3122020202237.

It is a happy number.

3122020202213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 179893043044 + 2942127159169 = 424138^2 + 1715263^2 .

It is not a de Polignac number, because 3122020202213 - 222 = 3122016007909 is a prime.

It is a super-2 number, since 2×31220202022132 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122020202513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14905931 + ... + 15113927.

It is an arithmetic number, because the mean of its divisors is an integer number (151417448049).

Almost surely, 23122020202213 is an apocalyptic number.

It is an amenable number.

3122020202213 is a deficient number, since it is larger than the sum of its proper divisors (511998550963).

3122020202213 is a wasteful number, since it uses less digits than its factorization.

3122020202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215333 (or 215322 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 3122020 and 202213, that added together give a palindrome (3324233).

The spelling of 3122020202213 in words is "three trillion, one hundred twenty-two billion, twenty million, two hundred two thousand, two hundred thirteen".

Divisors: 1 11 17 121 187 2057 7297 80267 124049 207997 882937 1364539 2287967 3535949 15009929 25167637 38895439 427849829 1517754109 16695295199 25801819853 183648247189 283820018383 3122020202213