Search a number
-
+
10357914257 is a prime number
BaseRepresentation
bin10011010010110000…
…10011101010010001
3222201212020120011222
421221120103222101
5132203111224012
64431450014425
7514451550515
oct115130235221
928655216158
1010357914257
114435855319
122010a17415
13c90bb4a62
147038d0145
1540950b972
hex269613a91

10357914257 has 2 divisors, whose sum is σ = 10357914258. Its totient is φ = 10357914256.

The previous prime is 10357914233. The next prime is 10357914263. The reversal of 10357914257 is 75241975301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8627437456 + 1730476801 = 92884^2 + 41599^2 .

It is a cyclic number.

It is not a de Polignac number, because 10357914257 - 214 = 10357897873 is a prime.

It is a super-3 number, since 3×103579142573 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10357914857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5178957128 + 5178957129.

It is an arithmetic number, because the mean of its divisors is an integer number (5178957129).

Almost surely, 210357914257 is an apocalyptic number.

It is an amenable number.

10357914257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10357914257 is an equidigital number, since it uses as much as digits as its factorization.

10357914257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 10357914257 in words is "ten billion, three hundred fifty-seven million, nine hundred fourteen thousand, two hundred fifty-seven".