Search a number
-
+
3112333131001 is a prime number
BaseRepresentation
bin101101010010100101100…
…000101011110011111001
3102000112110211212120212111
4231102211200223303321
5401443024240143001
610341441444212321
7440600342054533
oct55224540536371
912015424776774
103112333131001
11a9aa29a06726
1242323609a0a1
131976515020a3
14aa8cdcd0853
1555e5b5a4851
hex2d4a582bcf9

3112333131001 has 2 divisors, whose sum is σ = 3112333131002. Its totient is φ = 3112333131000.

The previous prime is 3112333130981. The next prime is 3112333131029. The reversal of 3112333131001 is 1001313332113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2084988714601 + 1027344416400 = 1443949^2 + 1013580^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112333131001 - 215 = 3112333098233 is a prime.

It is not a weakly prime, because it can be changed into another prime (3112333131071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556166565500 + 1556166565501.

It is an arithmetic number, because the mean of its divisors is an integer number (1556166565501).

Almost surely, 23112333131001 is an apocalyptic number.

It is an amenable number.

3112333131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112333131001 is an equidigital number, since it uses as much as digits as its factorization.

3112333131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3112333131001 its reverse (1001313332113), we get a palindrome (4113646463114).

The spelling of 3112333131001 in words is "three trillion, one hundred twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, one".