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10100221253 is a prime number
BaseRepresentation
bin10010110100000010…
…10010010101000101
3222001220100101211122
421122001102111011
5131141124040003
64350122443325
7505202315123
oct113201222505
928056311748
1010100221253
1143133477a1
121b5a663545
13c4c6aa8a5
146bb5b0913
153e1aa8238
hex25a052545

10100221253 has 2 divisors, whose sum is σ = 10100221254. Its totient is φ = 10100221252.

The previous prime is 10100221249. The next prime is 10100221273. The reversal of 10100221253 is 35212200101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8824159969 + 1276061284 = 93937^2 + 35722^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100221253 - 22 = 10100221249 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100221273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050110626 + 5050110627.

It is an arithmetic number, because the mean of its divisors is an integer number (5050110627).

Almost surely, 210100221253 is an apocalyptic number.

It is an amenable number.

10100221253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100221253 is an equidigital number, since it uses as much as digits as its factorization.

10100221253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10100221253 its reverse (35212200101), we get a palindrome (45312421354).

The spelling of 10100221253 in words is "ten billion, one hundred million, two hundred twenty-one thousand, two hundred fifty-three".