Search a number
-
+
10315170581 is a prime number
BaseRepresentation
bin10011001101101010…
…10000001100010101
3222121212210221212212
421212311100030111
5132111140424311
64423321523205
7513422334422
oct114665201425
928555727785
1010315170581
114413710371
121bba643505
13c8509a441
146dbd64d49
154058b6c8b
hex266d50315

10315170581 has 2 divisors, whose sum is σ = 10315170582. Its totient is φ = 10315170580.

The previous prime is 10315170557. The next prime is 10315170583. The reversal of 10315170581 is 18507151301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8979268081 + 1335902500 = 94759^2 + 36550^2 .

It is a cyclic number.

It is not a de Polignac number, because 10315170581 - 26 = 10315170517 is a prime.

It is a super-2 number, since 2×103151705812 (a number of 21 digits) contains 22 as substring.

Together with 10315170583, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10315170583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5157585290 + 5157585291.

It is an arithmetic number, because the mean of its divisors is an integer number (5157585291).

Almost surely, 210315170581 is an apocalyptic number.

It is an amenable number.

10315170581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315170581 is an equidigital number, since it uses as much as digits as its factorization.

10315170581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 32.

The spelling of 10315170581 in words is "ten billion, three hundred fifteen million, one hundred seventy thousand, five hundred eighty-one".