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213132202131 = 38317313013803
BaseRepresentation
bin1100011001111110101…
…0110101000010010011
3202101010112211200012010
43012133222311002103
511442443320432011
6241524522434003
721253420553412
oct3063752650223
9671115750163
10213132202131
1182430632012
1235381662903
1317137bcaa94
14a45c221479
1558262dc1a6
hex319fab5093

213132202131 has 32 divisors (see below), whose sum is σ = 289560966912. Its totient is φ = 139420860800.

The previous prime is 213132202097. The next prime is 213132202141. The reversal of 213132202131 is 131202231312.

It is a cyclic number.

It is not a de Polignac number, because 213132202131 - 227 = 212997984403 is a prime.

It is a super-2 number, since 2×2131322021312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213132202098 and 213132202107.

It is not an unprimeable number, because it can be changed into a prime (213132202141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56041276 + ... + 56045078.

It is an arithmetic number, because the mean of its divisors is an integer number (9048780216).

Almost surely, 2213132202131 is an apocalyptic number.

213132202131 is a deficient number, since it is larger than the sum of its proper divisors (76428764781).

213132202131 is a wasteful number, since it uses less digits than its factorization.

213132202131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213132202131 its reverse (131202231312), we get a palindrome (344334433443).

The spelling of 213132202131 in words is "two hundred thirteen billion, one hundred thirty-two million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 83 173 249 519 1301 3803 3903 11409 14359 43077 107983 225073 315649 323949 657919 675219 946947 1973757 4947703 14843109 18681059 54607277 56043177 163821831 410659349 855952619 1231978047 2567857857 71044067377 213132202131