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20233072513 is a prime number
BaseRepresentation
bin10010110101111111…
…000010111110000001
31221020002002120122001
4102311333002332001
5312414131310023
613143412544001
71314252164413
oct226577027601
957202076561
1020233072513
118643050935
123b08022001
131ba5a71574
14d9d2369b3
157d64596ad
hex4b5fc2f81

20233072513 has 2 divisors, whose sum is σ = 20233072514. Its totient is φ = 20233072512.

The previous prime is 20233072397. The next prime is 20233072537. The reversal of 20233072513 is 31527033202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14749373809 + 5483698704 = 121447^2 + 74052^2 .

It is a cyclic number.

It is not a de Polignac number, because 20233072513 - 217 = 20232941441 is a prime.

It is a super-4 number, since 4×202330725134 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (20233072213) 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, 10116536256 + 10116536257.

It is an arithmetic number, because the mean of its divisors is an integer number (10116536257).

Almost surely, 220233072513 is an apocalyptic number.

It is an amenable number.

20233072513 is a deficient number, since it is larger than the sum of its proper divisors (1).

20233072513 is an equidigital number, since it uses as much as digits as its factorization.

20233072513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 20233072513 in words is "twenty billion, two hundred thirty-three million, seventy-two thousand, five hundred thirteen".