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3121311001 is a prime number
BaseRepresentation
bin1011101000001011…
…0110110100011001
322001112022000202011
42322002312310121
522343023423001
61233420305521
7140230464034
oct27202666431
98045260664
103121311001
111361998176
127313a22a1
133a987a0b3
1421878401b
15134057d51
hexba0b6d19

3121311001 has 2 divisors, whose sum is σ = 3121311002. Its totient is φ = 3121311000.

The previous prime is 3121310999. The next prime is 3121311007. The reversal of 3121311001 is 1001131213.

3121311001 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., 3071819776 + 49491225 = 55424^2 + 7035^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121311001 - 21 = 3121310999 is a prime.

Together with 3121310999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3121311007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560655500 + 1560655501.

It is an arithmetic number, because the mean of its divisors is an integer number (1560655501).

Almost surely, 23121311001 is an apocalyptic number.

It is an amenable number.

3121311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121311001 is an equidigital number, since it uses as much as digits as its factorization.

3121311001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 3121311001 is about 55868.6942840085. The cubic root of 3121311001 is about 1461.4333519976.

Adding to 3121311001 its reverse (1001131213), we get a palindrome (4122442214).

The spelling of 3121311001 in words is "three billion, one hundred twenty-one million, three hundred eleven thousand, one".