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3106385225513 is a prime number
BaseRepresentation
bin101101001101000010111…
…111001110011100101001
3101222222010022211200102122
4231031002333032130221
5401343334104204023
610335015332041025
7440300056516313
oct55150277163451
911888108750378
103106385225513
11a98457527259
12422056163175
13196c14175b9b
14aa4c7da27b3
1555c0e30c2c8
hex2d342fce729

3106385225513 has 2 divisors, whose sum is σ = 3106385225514. Its totient is φ = 3106385225512.

The previous prime is 3106385225473. The next prime is 3106385225521. The reversal of 3106385225513 is 3155225836013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2561190538384 + 545194687129 = 1600372^2 + 738373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3106385225513 is a prime.

It is a super-2 number, since 2×31063852255132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3106385225563) 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, 1553192612756 + 1553192612757.

It is an arithmetic number, because the mean of its divisors is an integer number (1553192612757).

Almost surely, 23106385225513 is an apocalyptic number.

It is an amenable number.

3106385225513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3106385225513 is an equidigital number, since it uses as much as digits as its factorization.

3106385225513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 3106385225513 in words is "three trillion, one hundred six billion, three hundred eighty-five million, two hundred twenty-five thousand, five hundred thirteen".