Search a number
-
+
213002312221 is a prime number
BaseRepresentation
bin1100011001011111101…
…1010101101000011101
3202100210111102120201201
43012113323111220131
511442212042442341
6241504002435501
721250252531546
oct3062773255035
9670714376651
10213002312221
1182374285886
1235346062b91
131711702044a
14a448c8d4cd
155819bd1331
hex3197ed5a1d

213002312221 has 2 divisors, whose sum is σ = 213002312222. Its totient is φ = 213002312220.

The previous prime is 213002312191. The next prime is 213002312249. The reversal of 213002312221 is 122213200312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190981236196 + 22021076025 = 437014^2 + 148395^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002312221 - 213 = 213002304029 is a prime.

It is a super-2 number, since 2×2130023122212 (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 (213002312291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501156110 + 106501156111.

It is an arithmetic number, because the mean of its divisors is an integer number (106501156111).

Almost surely, 2213002312221 is an apocalyptic number.

It is an amenable number.

213002312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002312221 is an equidigital number, since it uses as much as digits as its factorization.

213002312221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213002312221 its reverse (122213200312), we get a palindrome (335215512533).

The spelling of 213002312221 in words is "two hundred thirteen billion, two million, three hundred twelve thousand, two hundred twenty-one".