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10221583201 is a prime number
BaseRepresentation
bin10011000010100000…
…01111101101100001
3222101100201020010121
421201100033231201
5131413211130301
64410140000241
7511205011054
oct114120175541
928340636117
1010221583201
1143758a9825
121b93230081
13c6b8906ab
146cd762a9b
153ec57c3a1
hex26140fb61

10221583201 has 2 divisors, whose sum is σ = 10221583202. Its totient is φ = 10221583200.

The previous prime is 10221583193. The next prime is 10221583219. The reversal of 10221583201 is 10238512201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6019432225 + 4202150976 = 77585^2 + 64824^2 .

It is an emirp because it is prime and its reverse (10238512201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221583201 - 23 = 10221583193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221583291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110791600 + 5110791601.

It is an arithmetic number, because the mean of its divisors is an integer number (5110791601).

Almost surely, 210221583201 is an apocalyptic number.

It is an amenable number.

10221583201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221583201 is an equidigital number, since it uses as much as digits as its factorization.

10221583201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 10221583201 in words is "ten billion, two hundred twenty-one million, five hundred eighty-three thousand, two hundred one".