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213122133013 = 3753108680333
BaseRepresentation
bin1100011001111100010…
…0011010110000010101
3202101002211220002221211
43012133010122300111
511442433231224023
6241523522541421
721253236145366
oct3063704326025
9671084802854
10213122133013
1182425984a29
123537a207871
1317135ab391a
14a45ab5db6d
15582549da0d
hex319f11ac15

213122133013 has 8 divisors (see below), whose sum is σ = 223012045368. Its totient is φ = 203449581504.

The previous prime is 213122132981. The next prime is 213122133109. The reversal of 213122133013 is 310331221312.

It can be written as a sum of positive squares in 4 ways, for example, as 89947807569 + 123174325444 = 299913^2 + 350962^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213122133013 - 25 = 213122132981 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 (213122113013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54338206 + ... + 54342127.

It is an arithmetic number, because the mean of its divisors is an integer number (27876505671).

Almost surely, 2213122133013 is an apocalyptic number.

It is an amenable number.

213122133013 is a deficient number, since it is larger than the sum of its proper divisors (9889912355).

213122133013 is a wasteful number, since it uses less digits than its factorization.

213122133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108680423.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213122133013 its reverse (310331221312), we get a palindrome (523453354325).

The spelling of 213122133013 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-three thousand, thirteen".

Divisors: 1 37 53 1961 108680333 4021172321 5760057649 213122133013