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10221201967 is a prime number
BaseRepresentation
bin10011000010011101…
…10010101000101111
3222101022222212011211
421201032302220233
5131413111430332
64410123455251
7511201532434
oct114116625057
928338885154
1010221201967
114375669359
121b93087527
13c6b789002
146cd6a3b8b
153ec504447
hex2613b2a2f

10221201967 has 2 divisors, whose sum is σ = 10221201968. Its totient is φ = 10221201966.

The previous prime is 10221201923. The next prime is 10221202003. The reversal of 10221201967 is 76910212201.

10221201967 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 is an emirp because it is prime and its reverse (76910212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221201967 - 227 = 10086984239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221201917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600983 + 5110600984.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600984).

Almost surely, 210221201967 is an apocalyptic number.

10221201967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221201967 is an equidigital number, since it uses as much as digits as its factorization.

10221201967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 10221201967 in words is "ten billion, two hundred twenty-one million, two hundred one thousand, nine hundred sixty-seven".