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10220299993 is a prime number
BaseRepresentation
bin10011000010010110…
…10110011011011001
3222101021022000220101
421201023112123121
5131412344044433
64410052255401
7511161054661
oct114113263331
928337260811
1010220299993
114375102722
121b92911561
13c6b5315b7
146cd50b1a1
153ec3c707d
hex2612d66d9

10220299993 has 2 divisors, whose sum is σ = 10220299994. Its totient is φ = 10220299992.

The previous prime is 10220299963. The next prime is 10220300021. The reversal of 10220299993 is 39999202201.

10220299993 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 can be written as a sum of positive squares in only one way, i.e., 8845966809 + 1374333184 = 94053^2 + 37072^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220299993 - 225 = 10186745561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220299963) 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, 5110149996 + 5110149997.

It is an arithmetic number, because the mean of its divisors is an integer number (5110149997).

Almost surely, 210220299993 is an apocalyptic number.

It is an amenable number.

10220299993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220299993 is an equidigital number, since it uses as much as digits as its factorization.

10220299993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 10220299993 in words is "ten billion, two hundred twenty million, two hundred ninety-nine thousand, nine hundred ninety-three".