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187117129 is a prime number
BaseRepresentation
bin10110010011100…
…10111001001001
3111001002112110001
423021302321021
5340400222004
630322323001
74431316663
oct1311627111
9431075401
10187117129
1196693961
12527b9461
132c9c64c4
141abcb533
15116621a4
hexb272e49

187117129 has 2 divisors, whose sum is σ = 187117130. Its totient is φ = 187117128.

The previous prime is 187117127. The next prime is 187117141. The reversal of 187117129 is 921711781.

187117129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169911225 + 17205904 = 13035^2 + 4148^2 .

It is an emirp because it is prime and its reverse (921711781) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 187117129 - 21 = 187117127 is a prime.

Together with 187117127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (187117127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93558564 + 93558565.

It is an arithmetic number, because the mean of its divisors is an integer number (93558565).

Almost surely, 2187117129 is an apocalyptic number.

It is an amenable number.

187117129 is a deficient number, since it is larger than the sum of its proper divisors (1).

187117129 is an equidigital number, since it uses as much as digits as its factorization.

187117129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 37.

The square root of 187117129 is about 13679.0763211556. The cubic root of 187117129 is about 571.9672754601.

Adding to 187117129 its product of digits (7056), we get a triangular number (187124185 = T19345).

The spelling of 187117129 in words is "one hundred eighty-seven million, one hundred seventeen thousand, one hundred twenty-nine".