Search a number
-
+
3100103039993 is a prime number
BaseRepresentation
bin101101000111001100100…
…010100101101111111001
3101222100220111210120222212
4231013030202211233321
5401243002334234433
610332100115024505
7436655305025531
oct55071442455771
911870814716885
103100103039993
11a9582338a2a3
124209a229b135
131964527a8a4b
14aa08d8da4c1
1555992a33d48
hex2d1cc8a5bf9

3100103039993 has 2 divisors, whose sum is σ = 3100103039994. Its totient is φ = 3100103039992.

The previous prime is 3100103039941. The next prime is 3100103040019. The reversal of 3100103039993 is 3999303010013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3089410859584 + 10692180409 = 1757672^2 + 103403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3100103039993 is a prime.

It is a super-2 number, since 2×31001030399932 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3100103039993.

It is not a weakly prime, because it can be changed into another prime (3100103039903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550051519996 + 1550051519997.

It is an arithmetic number, because the mean of its divisors is an integer number (1550051519997).

Almost surely, 23100103039993 is an apocalyptic number.

It is an amenable number.

3100103039993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100103039993 is an equidigital number, since it uses as much as digits as its factorization.

3100103039993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 41.

The spelling of 3100103039993 in words is "three trillion, one hundred billion, one hundred three million, thirty-nine thousand, nine hundred ninety-three".