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823031000101 is a prime number
BaseRepresentation
bin10111111101000000111…
…10000110110000100101
32220200101110000202201101
423332200132012300211
5101441031414000401
61430032322400101
7113314322033632
oct13764036066045
92820343022641
10823031000101
112980555a7a82
12113613500031
135c7c45a0a9b
142bb99003189
15166201c7101
hexbfa0786c25

823031000101 has 2 divisors, whose sum is σ = 823031000102. Its totient is φ = 823031000100.

The previous prime is 823031000081. The next prime is 823031000149. The reversal of 823031000101 is 101000130328.

823031000101 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., 569141992225 + 253889007876 = 754415^2 + 503874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-823031000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823031000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411515500050 + 411515500051.

It is an arithmetic number, because the mean of its divisors is an integer number (411515500051).

Almost surely, 2823031000101 is an apocalyptic number.

It is an amenable number.

823031000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

823031000101 is an equidigital number, since it uses as much as digits as its factorization.

823031000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 823031000101 its reverse (101000130328), we get a palindrome (924031130429).

The spelling of 823031000101 in words is "eight hundred twenty-three billion, thirty-one million, one hundred one", and thus it is an aban number.