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72202201213 is a prime number
BaseRepresentation
bin100001100111110010…
…1100010100001111101
320220100220011212000111
41003033211202201331
52140332230414323
653100315430021
75134144404232
oct1031745424175
9226326155014
1072202201213
112869129547a
1211bb0455311
136a68769bac
1436cd2a7789
151d28b14c0d
hex10cf96287d

72202201213 has 2 divisors, whose sum is σ = 72202201214. Its totient is φ = 72202201212.

The previous prime is 72202201187. The next prime is 72202201231. The reversal of 72202201213 is 31210220227.

Together with next prime (72202201231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55223590009 + 16978611204 = 234997^2 + 130302^2 .

It is a cyclic number.

It is not a de Polignac number, because 72202201213 - 233 = 63612266621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72202201273) 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, 36101100606 + 36101100607.

It is an arithmetic number, because the mean of its divisors is an integer number (36101100607).

Almost surely, 272202201213 is an apocalyptic number.

It is an amenable number.

72202201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72202201213 is an equidigital number, since it uses as much as digits as its factorization.

72202201213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 72202201213 in words is "seventy-two billion, two hundred two million, two hundred one thousand, two hundred thirteen".