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10221013001 is a prime number
BaseRepresentation
bin10011000010011100…
…00100100000001001
3222101022122020222002
421201032010200021
5131413034404001
64410115440345
7511200114503
oct114116044011
928338566862
1010221013001
11437554a391
121b92bb60b5
13c6b720cb4
146cd654d73
153ec4b846b
hex261384809

10221013001 has 2 divisors, whose sum is σ = 10221013002. Its totient is φ = 10221013000.

The previous prime is 10221012979. The next prime is 10221013013. The reversal of 10221013001 is 10031012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9192207376 + 1028805625 = 95876^2 + 32075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221013001 is a prime.

It is a super-2 number, since 2×102210130012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221019001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110506500 + 5110506501.

It is an arithmetic number, because the mean of its divisors is an integer number (5110506501).

Almost surely, 210221013001 is an apocalyptic number.

It is an amenable number.

10221013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221013001 is an equidigital number, since it uses as much as digits as its factorization.

10221013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10221013001 its reverse (10031012201), we get a palindrome (20252025202).

The spelling of 10221013001 in words is "ten billion, two hundred twenty-one million, thirteen thousand, one".