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202023312013 is a prime number
BaseRepresentation
bin1011110000100110000…
…1110001101010001101
3201022110100111120210101
42330021201301222031
511302220431441023
6232450324411101
720411216550565
oct2741141615215
9638410446711
10202023312013
117874a990496
12331a1246a91
1316087569313
149ac6ac7da5
1553c5dde1ad
hex2f09871a8d

202023312013 has 2 divisors, whose sum is σ = 202023312014. Its totient is φ = 202023312012.

The previous prime is 202023311989. The next prime is 202023312019. The reversal of 202023312013 is 310213320202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181206016489 + 20817295524 = 425683^2 + 144282^2 .

It is a cyclic number.

It is not a de Polignac number, because 202023312013 - 213 = 202023303821 is a prime.

It is a super-2 number, since 2×2020233120132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202023312019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101011656006 + 101011656007.

It is an arithmetic number, because the mean of its divisors is an integer number (101011656007).

Almost surely, 2202023312013 is an apocalyptic number.

It is an amenable number.

202023312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202023312013 is an equidigital number, since it uses as much as digits as its factorization.

202023312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 202023312013 its reverse (310213320202), we get a palindrome (512236632215).

The spelling of 202023312013 in words is "two hundred two billion, twenty-three million, three hundred twelve thousand, thirteen".