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3112332303001 is a prime number
BaseRepresentation
bin101101010010100101011…
…101100001101010011001
3102000112110210022112001211
4231102211131201222121
5401443024032144001
610341441414343121
7440600332035535
oct55224535415231
912015423275054
103112332303001
11a9aa294a0629
1242323595aaa1
131976512a224c
14aa8cdb56bc5
1555e5b48e351
hex2d4a5761a99

3112332303001 has 2 divisors, whose sum is σ = 3112332303002. Its totient is φ = 3112332303000.

The previous prime is 3112332302999. The next prime is 3112332303079. The reversal of 3112332303001 is 1003032332113.

3112332303001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1964650755600 + 1147681547401 = 1401660^2 + 1071299^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112332303001 - 21 = 3112332302999 is a prime.

It is a super-2 number, since 2×31123323030012 (a number of 26 digits) contains 22 as substring.

Together with 3112332302999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3112332303401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556166151500 + 1556166151501.

It is an arithmetic number, because the mean of its divisors is an integer number (1556166151501).

Almost surely, 23112332303001 is an apocalyptic number.

It is an amenable number.

3112332303001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112332303001 is an equidigital number, since it uses as much as digits as its factorization.

3112332303001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3112332303001 its reverse (1003032332113), we get a palindrome (4115364635114).

The spelling of 3112332303001 in words is "three trillion, one hundred twelve billion, three hundred thirty-two million, three hundred three thousand, one".