Search a number
-
+
103121839657 is a prime number
BaseRepresentation
bin110000000001010001…
…0100110011000101001
3100212011201221020011201
41200002202212120221
53142143142332112
6115212402524201
710310312113564
oct1400242463051
9325151836151
10103121839657
113a808654481
1217b9b366661
139955513345
144dc39014db
152a38349257
hex18028a6629

103121839657 has 2 divisors, whose sum is σ = 103121839658. Its totient is φ = 103121839656.

The previous prime is 103121839637. The next prime is 103121839817. The reversal of 103121839657 is 756938121301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72280860201 + 30840979456 = 268851^2 + 175616^2 .

It is an emirp because it is prime and its reverse (756938121301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103121839657 is a prime.

It is a super-2 number, since 2×1031218396572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103121839637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51560919828 + 51560919829.

It is an arithmetic number, because the mean of its divisors is an integer number (51560919829).

Almost surely, 2103121839657 is an apocalyptic number.

It is an amenable number.

103121839657 is a deficient number, since it is larger than the sum of its proper divisors (1).

103121839657 is an equidigital number, since it uses as much as digits as its factorization.

103121839657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 103121839657 in words is "one hundred three billion, one hundred twenty-one million, eight hundred thirty-nine thousand, six hundred fifty-seven".