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102330133121 is a prime number
BaseRepresentation
bin101111101001101011…
…0011110101010000001
3100210010120012100222102
41133103112132222001
53134033003224441
6115002041520145
710251556531346
oct1372326365201
9323116170872
10102330133121
113a441768657
12179ba1a3055
13985a4a5338
144d4a6d47cd
1529ddaae69b
hex17d359ea81

102330133121 has 2 divisors, whose sum is σ = 102330133122. Its totient is φ = 102330133120.

The previous prime is 102330133111. The next prime is 102330133123. The reversal of 102330133121 is 121331033201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64839492496 + 37490640625 = 254636^2 + 193625^2 .

It is a cyclic number.

It is not a de Polignac number, because 102330133121 - 222 = 102325938817 is a prime.

It is a super-3 number, since 3×1023301331213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 102330133123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102330133093 and 102330133102.

It is not a weakly prime, because it can be changed into another prime (102330133123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51165066560 + 51165066561.

It is an arithmetic number, because the mean of its divisors is an integer number (51165066561).

Almost surely, 2102330133121 is an apocalyptic number.

It is an amenable number.

102330133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102330133121 is an equidigital number, since it uses as much as digits as its factorization.

102330133121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102330133121 its reverse (121331033201), we get a palindrome (223661166322).

The spelling of 102330133121 in words is "one hundred two billion, three hundred thirty million, one hundred thirty-three thousand, one hundred twenty-one".