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213010332181 is a prime number
BaseRepresentation
bin1100011001100001100…
…1111011101000010101
3202100211001112001001021
43012120121323220111
511442221121112211
6241504450401141
721250410643423
oct3063031735025
9670731461037
10213010332181
1182378863349
12353488901b1
131711889a99a
14a449d7a113
15581a767771
hex319867ba15

213010332181 has 2 divisors, whose sum is σ = 213010332182. Its totient is φ = 213010332180.

The previous prime is 213010332151. The next prime is 213010332203. The reversal of 213010332181 is 181233010312.

It is a happy number.

213010332181 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., 199035545956 + 13974786225 = 446134^2 + 118215^2 .

It is a cyclic number.

It is not a de Polignac number, because 213010332181 - 223 = 213001943573 is a prime.

It is a super-2 number, since 2×2130103321812 (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 (213010332151) 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, 106505166090 + 106505166091.

It is an arithmetic number, because the mean of its divisors is an integer number (106505166091).

Almost surely, 2213010332181 is an apocalyptic number.

It is an amenable number.

213010332181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213010332181 is an equidigital number, since it uses as much as digits as its factorization.

213010332181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 213010332181 its reverse (181233010312), we get a palindrome (394243342493).

The spelling of 213010332181 in words is "two hundred thirteen billion, ten million, three hundred thirty-two thousand, one hundred eighty-one".