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202013311200047 is a prime number
BaseRepresentation
bin101101111011101011100011…
…101001110110101100101111
3222111021021122222211221012122
4231323223203221312230233
5202434241230131400142
61553351344535423155
760356660113205144
oct5573534351665457
9874237588757178
10202013311200047
1159405400772806
121a7a7649224abb
138894a09514889
1437c56d42ca3cb
151854c6a9911d2
hexb7bae3a76b2f

202013311200047 has 2 divisors, whose sum is σ = 202013311200048. Its totient is φ = 202013311200046.

The previous prime is 202013311199993. The next prime is 202013311200053. The reversal of 202013311200047 is 740002113310202.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 202013311200047 - 224 = 202013294422831 is a prime.

It is a super-3 number, since 3×2020133112000473 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202013311199989 and 202013311200025.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202013311220047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101006655600023 + 101006655600024.

It is an arithmetic number, because the mean of its divisors is an integer number (101006655600024).

Almost surely, 2202013311200047 is an apocalyptic number.

202013311200047 is a deficient number, since it is larger than the sum of its proper divisors (1).

202013311200047 is an equidigital number, since it uses as much as digits as its factorization.

202013311200047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 202013311200047 its reverse (740002113310202), we get a palindrome (942015424510249).

The spelling of 202013311200047 in words is "two hundred two trillion, thirteen billion, three hundred eleven million, two hundred thousand, forty-seven".