Search a number
-
+
10700642353 is a prime number
BaseRepresentation
bin10011111011100111…
…01101100000110001
31000121202010221202011
421331303231200301
5133403331023403
64525451522521
7526112650012
oct117563554061
930552127664
1010700642353
1145a1262a85
1220a7759441
131016bc304b
14737227009
1542965aa6d
hex27dced831

10700642353 has 2 divisors, whose sum is σ = 10700642354. Its totient is φ = 10700642352.

The previous prime is 10700642297. The next prime is 10700642363. The reversal of 10700642353 is 35324600701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6300708129 + 4399934224 = 79377^2 + 66332^2 .

It is a cyclic number.

It is not a de Polignac number, because 10700642353 - 29 = 10700641841 is a prime.

It is a super-4 number, since 4×107006423534 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10700642363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5350321176 + 5350321177.

It is an arithmetic number, because the mean of its divisors is an integer number (5350321177).

Almost surely, 210700642353 is an apocalyptic number.

It is an amenable number.

10700642353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10700642353 is an equidigital number, since it uses as much as digits as its factorization.

10700642353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 10700642353 in words is "ten billion, seven hundred million, six hundred forty-two thousand, three hundred fifty-three".