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102784681 is a prime number
BaseRepresentation
bin1100010000001…
…01111010101001
321011102000002001
412020011322221
5202303102211
614111011001
72355440536
oct610057251
9234360061
10102784681
115302371a
122a509a61
13183aa14c
14d917d8d
159054ac1
hex6205ea9

102784681 has 2 divisors, whose sum is σ = 102784682. Its totient is φ = 102784680.

The previous prime is 102784679. The next prime is 102784691. The reversal of 102784681 is 186487201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98307225 + 4477456 = 9915^2 + 2116^2 .

It is a cyclic number.

It is not a de Polignac number, because 102784681 - 21 = 102784679 is a prime.

It is a super-2 number, since 2×1027846812 = 21129381296543522, which contains 22 as substring.

Together with 102784679, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102784681.

It is not a weakly prime, because it can be changed into another prime (102784691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51392340 + 51392341.

It is an arithmetic number, because the mean of its divisors is an integer number (51392341).

Almost surely, 2102784681 is an apocalyptic number.

It is an amenable number.

102784681 is a deficient number, since it is larger than the sum of its proper divisors (1).

102784681 is an equidigital number, since it uses as much as digits as its factorization.

102784681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 102784681 is about 10138.2780096030. The cubic root of 102784681 is about 468.4279467019.

The spelling of 102784681 in words is "one hundred two million, seven hundred eighty-four thousand, six hundred eighty-one".