Search a number
-
+
10209186313 is a prime number
BaseRepresentation
bin10011000001000001…
…11101001000001001
3222100111101101210121
421200200331020021
5131402022430223
64405014143241
7510664436404
oct114040751011
928314341717
1010209186313
114369901867
121b8b051b21
13c6913cb61
146cbc56d3b
153eb42e15d
hex26083d209

10209186313 has 2 divisors, whose sum is σ = 10209186314. Its totient is φ = 10209186312.

The previous prime is 10209186277. The next prime is 10209186349. The reversal of 10209186313 is 31368190201.

It is a balanced prime because it is at equal distance from previous prime (10209186277) and next prime (10209186349).

It can be written as a sum of positive squares in only one way, i.e., 8429443344 + 1779742969 = 91812^2 + 42187^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10209186313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10209181313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5104593156 + 5104593157.

It is an arithmetic number, because the mean of its divisors is an integer number (5104593157).

Almost surely, 210209186313 is an apocalyptic number.

It is an amenable number.

10209186313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10209186313 is an equidigital number, since it uses as much as digits as its factorization.

10209186313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10209186313 in words is "ten billion, two hundred nine million, one hundred eighty-six thousand, three hundred thirteen".