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202023199933 is a prime number
BaseRepresentation
bin1011110000100110000…
…1010110010010111101
3201022110100021220001021
42330021201112102331
511302220414344213
6232450322144141
720411215603042
oct2741141262275
9638410256037
10202023199933
117874a914265
12331a11b2051
131608752a2b9
149ac6a991c9
1553c5dbad8d
hex2f098564bd

202023199933 has 2 divisors, whose sum is σ = 202023199934. Its totient is φ = 202023199932.

The previous prime is 202023199919. The next prime is 202023200059. The reversal of 202023199933 is 339991320202.

202023199933 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., 200308163364 + 1715036569 = 447558^2 + 41413^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202023199933 is a prime.

It is a super-2 number, since 2×2020231999332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202023199933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202023196933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101011599966 + 101011599967.

It is an arithmetic number, because the mean of its divisors is an integer number (101011599967).

Almost surely, 2202023199933 is an apocalyptic number.

It is an amenable number.

202023199933 is a deficient number, since it is larger than the sum of its proper divisors (1).

202023199933 is an equidigital number, since it uses as much as digits as its factorization.

202023199933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 43.

It can be divided in two parts, 202023 and 199933, that added together give a square (401956 = 6342).

The spelling of 202023199933 in words is "two hundred two billion, twenty-three million, one hundred ninety-nine thousand, nine hundred thirty-three".