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213521421241 = 1922924184629
BaseRepresentation
bin1100011011011011011…
…1100101001110111001
3202102010200020001102201
43012312313211032321
511444242440434431
6242031305030201
721266155064122
oct3066667451671
9672120201381
10213521421241
11826103040a7
123546ba85361
131719a73624b
14a497bbb049
15584a571461
hex31b6de53b9

213521421241 has 24 divisors (see below), whose sum is σ = 234091657800. Its totient is φ = 194495454720.

The previous prime is 213521421199. The next prime is 213521421257. The reversal of 213521421241 is 142124125312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120631182400 + 92890238841 = 347320^2 + 304779^2 .

It is not a de Polignac number, because 213521421241 - 223 = 213513032633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213521401241) 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 23 ways as a sum of consecutive naturals, for example, 2480715 + ... + 2565343.

It is an arithmetic number, because the mean of its divisors is an integer number (9753819075).

Almost surely, 2213521421241 is an apocalyptic number.

It is an amenable number.

213521421241 is a deficient number, since it is larger than the sum of its proper divisors (20570236559).

213521421241 is a wasteful number, since it uses less digits than its factorization.

213521421241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84937 (or 84918 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

Adding to 213521421241 its reverse (142124125312), we get a palindrome (355645546553).

The spelling of 213521421241 in words is "two hundred thirteen billion, five hundred twenty-one million, four hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 19 29 241 361 551 4579 6989 10469 84629 87001 132791 1607951 2454241 2523029 20395589 30551069 46630579 387516191 591472081 885981001 7362807629 11237969539 213521421241