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10214134309 is a prime number
BaseRepresentation
bin10011000001100111…
…10101001000100101
3222100211200210011201
421200303311020211
5131404304244214
64405312202501
7511054465141
oct114063651045
928324623151
1010214134309
114371681315
121b90839431
13c6a183072
146cc784221
153ebaaa274
hex260cf5225

10214134309 has 2 divisors, whose sum is σ = 10214134310. Its totient is φ = 10214134308.

The previous prime is 10214134291. The next prime is 10214134319. The reversal of 10214134309 is 90343141201.

10214134309 is digitally balanced in base 3, 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., 6650402500 + 3563731809 = 81550^2 + 59697^2 .

It is a cyclic number.

It is not a de Polignac number, because 10214134309 - 25 = 10214134277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10214134319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107067154 + 5107067155.

It is an arithmetic number, because the mean of its divisors is an integer number (5107067155).

Almost surely, 210214134309 is an apocalyptic number.

It is an amenable number.

10214134309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214134309 is an equidigital number, since it uses as much as digits as its factorization.

10214134309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 10214134309 in words is "ten billion, two hundred fourteen million, one hundred thirty-four thousand, three hundred nine".