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1020123121 is a prime number
BaseRepresentation
bin111100110011011…
…101011111110001
32122002112121211211
4330303131133301
54042122414441
6245120440121
734164621613
oct7463353761
92562477754
101020123121
11483918666
12245779041
13133464664
14996a8db3
155e858a81
hex3ccdd7f1

1020123121 has 2 divisors, whose sum is σ = 1020123122. Its totient is φ = 1020123120.

The previous prime is 1020123113. The next prime is 1020123151. The reversal of 1020123121 is 1213210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1002608896 + 17514225 = 31664^2 + 4185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020123121 - 23 = 1020123113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020123151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510061560 + 510061561.

It is an arithmetic number, because the mean of its divisors is an integer number (510061561).

Almost surely, 21020123121 is an apocalyptic number.

It is an amenable number.

1020123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020123121 is an equidigital number, since it uses as much as digits as its factorization.

1020123121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1020123121 is about 31939.3663212031. The cubic root of 1020123121 is about 1006.6632100203.

Adding to 1020123121 its reverse (1213210201), we get a palindrome (2233333322).

The spelling of 1020123121 in words is "one billion, twenty million, one hundred twenty-three thousand, one hundred twenty-one".