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10034107361 is a prime number
BaseRepresentation
bin10010101100001010…
…00101001111100001
3221220021221110121222
421112011011033201
5131022212413421
64335401424425
7503440335215
oct112605051741
927807843558
1010034107361
114289aa0413
121b4049b115
13c3ba9cb45
146b28c0945
153dad98cab
hex2561453e1

10034107361 has 2 divisors, whose sum is σ = 10034107362. Its totient is φ = 10034107360.

The previous prime is 10034107357. The next prime is 10034107381. The reversal of 10034107361 is 16370143001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9913985761 + 120121600 = 99569^2 + 10960^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034107361 - 22 = 10034107357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10034107361.

It is not a weakly prime, because it can be changed into another prime (10034107381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017053680 + 5017053681.

It is an arithmetic number, because the mean of its divisors is an integer number (5017053681).

Almost surely, 210034107361 is an apocalyptic number.

It is an amenable number.

10034107361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034107361 is an equidigital number, since it uses as much as digits as its factorization.

10034107361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 10034107361 in words is "ten billion, thirty-four million, one hundred seven thousand, three hundred sixty-one".