Search a number
-
+
10116613123 is a prime number
BaseRepresentation
bin10010110101111111…
…10100010000000011
3222010001012012020221
421122333310100003
5131204323104443
64351510043511
7505461535621
oct113277642003
928101165227
1010116613123
1143216231a1
121b64049597
13c52bc9916
146bd83a511
153e3244eed
hex25aff4403

10116613123 has 2 divisors, whose sum is σ = 10116613124. Its totient is φ = 10116613122.

The previous prime is 10116613109. The next prime is 10116613127. The reversal of 10116613123 is 32131661101.

10116613123 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10116613123 is a prime.

It is a super-2 number, since 2×101166131232 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10116613127) 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, 5058306561 + 5058306562.

It is an arithmetic number, because the mean of its divisors is an integer number (5058306562).

Almost surely, 210116613123 is an apocalyptic number.

10116613123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116613123 is an equidigital number, since it uses as much as digits as its factorization.

10116613123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 10116613123 in words is "ten billion, one hundred sixteen million, six hundred thirteen thousand, one hundred twenty-three".