Search a number
-
+
22313300221213 is a prime number
BaseRepresentation
bin1010001001011001110000…
…10101010101110100011101
32221000010112020221121220121
411010230320111111310131
510411040114324034323
6115242331050114541
74462040244330421
oct504547025256435
987003466847817
1022313300221213
1171230212a5181
12260457311ba51
13c5b19acc3091
14571d80408b81
1528a647ec8a5d
hex144b38555d1d

22313300221213 has 2 divisors, whose sum is σ = 22313300221214. Its totient is φ = 22313300221212.

The previous prime is 22313300221187. The next prime is 22313300221253. The reversal of 22313300221213 is 31212200331322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11762581434244 + 10550718786969 = 3429662^2 + 3248187^2 .

It is a cyclic number.

It is not a de Polignac number, because 22313300221213 - 241 = 20114276965661 is a prime.

It is a super-3 number, since 3×223133002212133 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22313300221253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156650110606 + 11156650110607.

It is an arithmetic number, because the mean of its divisors is an integer number (11156650110607).

Almost surely, 222313300221213 is an apocalyptic number.

It is an amenable number.

22313300221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22313300221213 is an equidigital number, since it uses as much as digits as its factorization.

22313300221213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 22313300221213 its reverse (31212200331322), we get a palindrome (53525500552535).

The spelling of 22313300221213 in words is "twenty-two trillion, three hundred thirteen billion, three hundred million, two hundred twenty-one thousand, two hundred thirteen".