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102033123331 is a prime number
BaseRepresentation
bin101111100000110100…
…1011110100000000011
3100202100212022201010211
41133001221132200003
53132430434421311
6114512351534551
710241322144526
oct1370151364003
9322325281124
10102033123331
113a2aa046817
121793682a457
139810ab35b9
144d1d09cbbd
1529c2991821
hex17c1a5e803

102033123331 has 2 divisors, whose sum is σ = 102033123332. Its totient is φ = 102033123330.

The previous prime is 102033123329. The next prime is 102033123341. The reversal of 102033123331 is 133321330201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102033123331 - 21 = 102033123329 is a prime.

It is a super-2 number, since 2×1020331233312 (a number of 23 digits) contains 22 as substring.

Together with 102033123329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102033123341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016561665 + 51016561666.

It is an arithmetic number, because the mean of its divisors is an integer number (51016561666).

Almost surely, 2102033123331 is an apocalyptic number.

102033123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033123331 is an equidigital number, since it uses as much as digits as its factorization.

102033123331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 102033123331 its reverse (133321330201), we get a palindrome (235354453532).

The spelling of 102033123331 in words is "one hundred two billion, thirty-three million, one hundred twenty-three thousand, three hundred thirty-one".