Search a number
-
+
3113505584003 is a prime number
BaseRepresentation
bin101101010011101011011…
…001001111001110000011
3102000122111120001101000202
4231103223121033032003
5402002424412142003
610342154050035415
7440641366542053
oct55235331171603
912018446041022
103113505584003
11aa0480807a51
12423502878b6b
131977aa39cc69
14aa9a18cd563
1555ec949d088
hex2d4eb64f383

3113505584003 has 2 divisors, whose sum is σ = 3113505584004. Its totient is φ = 3113505584002.

The previous prime is 3113505583943. The next prime is 3113505584029. The reversal of 3113505584003 is 3004855053113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3113505584003 - 222 = 3113501389699 is a prime.

It is a super-3 number, since 3×31135055840033 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3113505584603) 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, 1556752792001 + 1556752792002.

It is an arithmetic number, because the mean of its divisors is an integer number (1556752792002).

Almost surely, 23113505584003 is an apocalyptic number.

3113505584003 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113505584003 is an equidigital number, since it uses as much as digits as its factorization.

3113505584003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 3113505584003 in words is "three trillion, one hundred thirteen billion, five hundred five million, five hundred eighty-four thousand, three".