Search a number
-
+
123123022031 is a prime number
BaseRepresentation
bin111001010101010110…
…1000011100011001111
3102202210122200120100002
41302222231003203033
54004123443201111
6132321213354515
711616050263622
oct1625255034317
9382718616302
10123123022031
1148241810869
121ba41798a3b
13b7c22131b9
145d60013db9
15330924a63b
hex1caab438cf

123123022031 has 2 divisors, whose sum is σ = 123123022032. Its totient is φ = 123123022030.

The previous prime is 123123022013. The next prime is 123123022039. The reversal of 123123022031 is 130220321321.

Together with previous prime (123123022013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123123022031 is a prime.

It is a super-3 number, since 3×1231230220313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 123123021994 and 123123022012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123123022039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61561511015 + 61561511016.

It is an arithmetic number, because the mean of its divisors is an integer number (61561511016).

Almost surely, 2123123022031 is an apocalyptic number.

123123022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

123123022031 is an equidigital number, since it uses as much as digits as its factorization.

123123022031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123123022031 its reverse (130220321321), we get a palindrome (253343343352).

The spelling of 123123022031 in words is "one hundred twenty-three billion, one hundred twenty-three million, twenty-two thousand, thirty-one".