Search a number
-
+
10101331309 is a prime number
BaseRepresentation
bin10010110100001011…
…00001010101101101
3222001222102210112211
421122011201111231
5131141420100214
64350202330421
7505214620336
oct113205412555
928058383484
1010101331309
114313a357a3
121b5aab9a11
13c4c9a8c24
146bb7bd28d
153e1c270c4
hex25a16156d

10101331309 has 2 divisors, whose sum is σ = 10101331310. Its totient is φ = 10101331308.

The previous prime is 10101331271. The next prime is 10101331333. The reversal of 10101331309 is 90313310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5708558025 + 4392773284 = 75555^2 + 66278^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101331309 - 29 = 10101330797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101331309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101311309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050665654 + 5050665655.

It is an arithmetic number, because the mean of its divisors is an integer number (5050665655).

Almost surely, 210101331309 is an apocalyptic number.

It is an amenable number.

10101331309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101331309 is an equidigital number, since it uses as much as digits as its factorization.

10101331309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 22.

The spelling of 10101331309 in words is "ten billion, one hundred one million, three hundred thirty-one thousand, three hundred nine".