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3123013121 is a prime number
BaseRepresentation
bin1011101000100101…
…0110011000000001
322001122111111121122
42322021112120001
522343442404441
61233521002025
7140251113344
oct27211263001
98048444548
103123013121
11136294aa88
12731a83315
133aa024a77
14218aa845b
1513429234b
hexba256601

3123013121 has 2 divisors, whose sum is σ = 3123013122. Its totient is φ = 3123013120.

The previous prime is 3123013111. The next prime is 3123013123. The reversal of 3123013121 is 1213103213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1992372496 + 1130640625 = 44636^2 + 33625^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123013121 - 26 = 3123013057 is a prime.

Together with 3123013123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3123013121.

It is not a weakly prime, because it can be changed into another prime (3123013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561506560 + 1561506561.

It is an arithmetic number, because the mean of its divisors is an integer number (1561506561).

Almost surely, 23123013121 is an apocalyptic number.

It is an amenable number.

3123013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123013121 is an equidigital number, since it uses as much as digits as its factorization.

3123013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3123013121 is about 55883.9254258324. The cubic root of 3123013121 is about 1461.6989543790.

Adding to 3123013121 its reverse (1213103213), we get a palindrome (4336116334).

The spelling of 3123013121 in words is "three billion, one hundred twenty-three million, thirteen thousand, one hundred twenty-one".