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20247624720101 is a prime number
BaseRepresentation
bin1001001101010010001000…
…11110101001111011100101
32122200122122210001122022102
410212221010132221323211
510123214113412020401
6111021344055141445
74156562005303232
oct446510436517345
978618583048272
1020247624720101
1164a6a73333349
122330160674885
13b3b45c23095c
144dddc1406789
15251a493ad56b
hex126a447a9ee5

20247624720101 has 2 divisors, whose sum is σ = 20247624720102. Its totient is φ = 20247624720100.

The previous prime is 20247624720083. The next prime is 20247624720109. The reversal of 20247624720101 is 10102742674202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19907034592900 + 340590127201 = 4461730^2 + 583601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20247624720101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20247624720109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10123812360050 + 10123812360051.

It is an arithmetic number, because the mean of its divisors is an integer number (10123812360051).

Almost surely, 220247624720101 is an apocalyptic number.

It is an amenable number.

20247624720101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20247624720101 is an equidigital number, since it uses as much as digits as its factorization.

20247624720101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 20247624720101 in words is "twenty trillion, two hundred forty-seven billion, six hundred twenty-four million, seven hundred twenty thousand, one hundred one".