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213113212357 is a prime number
BaseRepresentation
bin1100011001111010001…
…0011000110111000101
3202101002020002220010011
43012132202120313011
511442423440243412
6241523003430221
721253100262553
oct3063642306705
9671066086104
10213113212357
1182420941791
1235377225371
1317133cac426
14a4598babd3
1558247da7a7
hex319e898dc5

213113212357 has 2 divisors, whose sum is σ = 213113212358. Its totient is φ = 213113212356.

The previous prime is 213113212289. The next prime is 213113212381. The reversal of 213113212357 is 753212311312.

213113212357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184808851236 + 28304361121 = 429894^2 + 168239^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113212357 - 211 = 213113210309 is a prime.

It is a super-2 number, since 2×2131132123572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213113212957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556606178 + 106556606179.

It is an arithmetic number, because the mean of its divisors is an integer number (106556606179).

Almost surely, 2213113212357 is an apocalyptic number.

It is an amenable number.

213113212357 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113212357 is an equidigital number, since it uses as much as digits as its factorization.

213113212357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

Adding to 213113212357 its reverse (753212311312), we get a palindrome (966325523669).

The spelling of 213113212357 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, three hundred fifty-seven".