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222901071361 is a prime number
BaseRepresentation
bin1100111110010111110…
…0000110111000000001
3210022100100200122111121
43033211330012320001
512123000133240421
6250222131312241
722050460562623
oct3174574067001
9708310618447
10222901071361
1186593931061
123724914b681
1318033a51387
14ab077bac13
155be8c41d41
hex33e5f06e01

222901071361 has 2 divisors, whose sum is σ = 222901071362. Its totient is φ = 222901071360.

The previous prime is 222901071347. The next prime is 222901071409. The reversal of 222901071361 is 163170109222.

It is a happy number.

222901071361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200676224961 + 22224846400 = 447969^2 + 149080^2 .

It is a cyclic number.

It is not a de Polignac number, because 222901071361 - 25 = 222901071329 is a prime.

It is a super-2 number, since 2×2229010713612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222901071301) 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, 111450535680 + 111450535681.

It is an arithmetic number, because the mean of its divisors is an integer number (111450535681).

Almost surely, 2222901071361 is an apocalyptic number.

It is an amenable number.

222901071361 is a deficient number, since it is larger than the sum of its proper divisors (1).

222901071361 is an equidigital number, since it uses as much as digits as its factorization.

222901071361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 222901071361 in words is "two hundred twenty-two billion, nine hundred one million, seventy-one thousand, three hundred sixty-one".