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2023102993 is a prime number
BaseRepresentation
bin111100010010110…
…0001101000010001
312012222211021120111
41320211201220101
513120403243433
6532430041321
7101064043312
oct17045415021
95188737514
102023102993
11948a9724a
12485649241
132631a5c82
14152990609
15bc927dcd
hex78961a11

2023102993 has 2 divisors, whose sum is σ = 2023102994. Its totient is φ = 2023102992.

The previous prime is 2023102987. The next prime is 2023103011. The reversal of 2023102993 is 3992013202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1036389249 + 986713744 = 32193^2 + 31412^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023102993 - 229 = 1486232081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023102933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011551496 + 1011551497.

It is an arithmetic number, because the mean of its divisors is an integer number (1011551497).

Almost surely, 22023102993 is an apocalyptic number.

It is an amenable number.

2023102993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023102993 is an equidigital number, since it uses as much as digits as its factorization.

2023102993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 2023102993 is about 44978.9172057310. The cubic root of 2023102993 is about 1264.7538133717.

The spelling of 2023102993 in words is "two billion, twenty-three million, one hundred two thousand, nine hundred ninety-three".