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2133023224337 is a prime number
BaseRepresentation
bin11111000010100010000…
…101110111001000010001
321112220201001111210201122
4133002202011313020101
5234421412421134322
64311521454212025
7310051206153365
oct37024205671021
97486631453648
102133023224337
11752679003125
122a54891b4015
131261b2892335
147534b6892a5
153a741471442
hex1f0a2177211

2133023224337 has 2 divisors, whose sum is σ = 2133023224338. Its totient is φ = 2133023224336.

The previous prime is 2133023224187. The next prime is 2133023224349. The reversal of 2133023224337 is 7334223203312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1449233153281 + 683790071056 = 1203841^2 + 826916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2133023224337 is a prime.

It is a super-2 number, since 2×21330232243372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133023224297 and 2133023224306.

It is not a weakly prime, because it can be changed into another prime (2133023224357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066511612168 + 1066511612169.

It is an arithmetic number, because the mean of its divisors is an integer number (1066511612169).

Almost surely, 22133023224337 is an apocalyptic number.

It is an amenable number.

2133023224337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133023224337 is an equidigital number, since it uses as much as digits as its factorization.

2133023224337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 35.

Adding to 2133023224337 its reverse (7334223203312), we get a palindrome (9467246427649).

The spelling of 2133023224337 in words is "two trillion, one hundred thirty-three billion, twenty-three million, two hundred twenty-four thousand, three hundred thirty-seven".