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10102980353 is a prime number
BaseRepresentation
bin10010110100010111…
…10011111100000001
3222002002112120121112
421122023303330001
5131142330332403
64350301533105
7505234626134
oct113213637401
928062476545
1010102980353
114314961744
121b5b574195
13c501356ab
146bbacc21b
153e1e509d8
hex25a2f3f01

10102980353 has 2 divisors, whose sum is σ = 10102980354. Its totient is φ = 10102980352.

The previous prime is 10102980347. The next prime is 10102980359. The reversal of 10102980353 is 35308920101.

10102980353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10102980347) and next prime (10102980359).

It can be written as a sum of positive squares in only one way, i.e., 7482769009 + 2620211344 = 86503^2 + 51188^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102980353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102980359) 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, 5051490176 + 5051490177.

It is an arithmetic number, because the mean of its divisors is an integer number (5051490177).

Almost surely, 210102980353 is an apocalyptic number.

It is an amenable number.

10102980353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102980353 is an equidigital number, since it uses as much as digits as its factorization.

10102980353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 10102980353 in words is "ten billion, one hundred two million, nine hundred eighty thousand, three hundred fifty-three".