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10102033327 is a prime number
BaseRepresentation
bin10010110100010000…
…01100101110101111
3222002000202110112111
421122020030232233
5131142110031302
64350225344451
7505223603131
oct113210145657
928060673474
1010102033327
114314375181
121b5b198127
13c4cb93619
146bb923051
153e1d150d7
hex25a20cbaf

10102033327 has 2 divisors, whose sum is σ = 10102033328. Its totient is φ = 10102033326.

The previous prime is 10102033309. The next prime is 10102033363. The reversal of 10102033327 is 72333020101.

It is a happy number.

10102033327 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102033327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102033298 and 10102033307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102033307) 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, 5051016663 + 5051016664.

It is an arithmetic number, because the mean of its divisors is an integer number (5051016664).

Almost surely, 210102033327 is an apocalyptic number.

10102033327 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102033327 is an equidigital number, since it uses as much as digits as its factorization.

10102033327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

Adding to 10102033327 its reverse (72333020101), we get a palindrome (82435053428).

The spelling of 10102033327 in words is "ten billion, one hundred two million, thirty-three thousand, three hundred twenty-seven".