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10010909141 is a prime number
BaseRepresentation
bin10010101001011001…
…00101100111010101
3221211200021212122122
421110230211213111
5131000243043031
64333212305325
7503036216012
oct112454454725
927750255578
1010010909141
114277996232
121b34772245
13c37039a9c
146ad7a2709
153d8d1547b
hex254b259d5

10010909141 has 2 divisors, whose sum is σ = 10010909142. Its totient is φ = 10010909140.

The previous prime is 10010909099. The next prime is 10010909177. The reversal of 10010909141 is 14190901001.

10010909141 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., 8159328241 + 1851580900 = 90329^2 + 43030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010909141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010909141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010909341) 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, 5005454570 + 5005454571.

It is an arithmetic number, because the mean of its divisors is an integer number (5005454571).

Almost surely, 210010909141 is an apocalyptic number.

It is an amenable number.

10010909141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010909141 is an equidigital number, since it uses as much as digits as its factorization.

10010909141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 10010909141 in words is "ten billion, ten million, nine hundred nine thousand, one hundred forty-one".