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3123121933 is a prime number
BaseRepresentation
bin1011101000100111…
…0000111100001101
322001122201000212201
42322021300330031
522344004400213
61233523201501
7140252045521
oct27211607415
98048630781
103123121933
111362a14808
12731b16291
133aa062459
14218ad5d81
151342b46dd
hexba270f0d

3123121933 has 2 divisors, whose sum is σ = 3123121934. Its totient is φ = 3123121932.

The previous prime is 3123121927. The next prime is 3123121961. The reversal of 3123121933 is 3391213213.

3123121933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3123121961) can be obtained adding 3123121933 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1988981604 + 1134140329 = 44598^2 + 33677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3123121933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123121973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561560966 + 1561560967.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560967).

Almost surely, 23123121933 is an apocalyptic number.

It is an amenable number.

3123121933 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123121933 is an equidigital number, since it uses as much as digits as its factorization.

3123121933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

The square root of 3123121933 is about 55884.8989710100. The cubic root of 3123121933 is about 1461.7159303499.

The spelling of 3123121933 in words is "three billion, one hundred twenty-three million, one hundred twenty-one thousand, nine hundred thirty-three".