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20232123101 is a prime number
BaseRepresentation
bin10010110101111011…
…011011001011011101
31221020000022100021122
4102311323123023131
5312413410414401
613143340340325
71314241131431
oct226573331335
957200270248
1020232123101
1186425625a3
123b078446a5
131ba57cb398
14d9d06a9c1
157d631d21b
hex4b5edb2dd

20232123101 has 2 divisors, whose sum is σ = 20232123102. Its totient is φ = 20232123100.

The previous prime is 20232123073. The next prime is 20232123103. The reversal of 20232123101 is 10132123202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13983062500 + 6249060601 = 118250^2 + 79051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20232123101 is a prime.

Together with 20232123103, 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 20232123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20232123103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10116061550 + 10116061551.

It is an arithmetic number, because the mean of its divisors is an integer number (10116061551).

Almost surely, 220232123101 is an apocalyptic number.

It is an amenable number.

20232123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20232123101 is an equidigital number, since it uses as much as digits as its factorization.

20232123101 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 17.

Adding to 20232123101 its reverse (10132123202), we get a palindrome (30364246303).

The spelling of 20232123101 in words is "twenty billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred one".