Search a number
-
+
10216714357 is a prime number
BaseRepresentation
bin10011000001111011…
…01011000001110101
3222101000112212100001
421200331223001311
5131410434324412
64405443351301
7511115432143
oct114075530165
928330485301
1010216714357
114373083793
121b91682531
13c6a877515
146ccc56593
153ebe19957
hex260f6b075

10216714357 has 2 divisors, whose sum is σ = 10216714358. Its totient is φ = 10216714356.

The previous prime is 10216714331. The next prime is 10216714367. The reversal of 10216714357 is 75341761201.

10216714357 is digitally balanced in base 2, 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., 7244392996 + 2972321361 = 85114^2 + 54519^2 .

It is a cyclic number.

It is not a de Polignac number, because 10216714357 - 223 = 10208325749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10216714307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5108357178 + 5108357179.

It is an arithmetic number, because the mean of its divisors is an integer number (5108357179).

Almost surely, 210216714357 is an apocalyptic number.

It is an amenable number.

10216714357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10216714357 is an equidigital number, since it uses as much as digits as its factorization.

10216714357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

It can be divided in two parts, 1021671 and 4357, that added together give a triangular number (1026028 = T1432).

The spelling of 10216714357 in words is "ten billion, two hundred sixteen million, seven hundred fourteen thousand, three hundred fifty-seven".