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150077129 is a prime number
BaseRepresentation
bin10001111000111…
…11111011001001
3101110101201010012
420330133323021
5301404432004
622520401305
73501430436
oct1074377311
9343351105
10150077129
1177795194
1242316235
1325128047
1415d08b8d
15d29746e
hex8f1fec9

150077129 has 2 divisors, whose sum is σ = 150077130. Its totient is φ = 150077128.

The previous prime is 150077113. The next prime is 150077131. The reversal of 150077129 is 921770051.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149499529 + 577600 = 12227^2 + 760^2 .

It is a cyclic number.

It is not a de Polignac number, because 150077129 - 24 = 150077113 is a prime.

Together with 150077131, 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 = 150077095 and 150077104.

It is not a weakly prime, because it can be changed into another prime (150077149) 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, 75038564 + 75038565.

It is an arithmetic number, because the mean of its divisors is an integer number (75038565).

Almost surely, 2150077129 is an apocalyptic number.

It is an amenable number.

150077129 is a deficient number, since it is larger than the sum of its proper divisors (1).

150077129 is an equidigital number, since it uses as much as digits as its factorization.

150077129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 150077129 is about 12250.5970874892. The cubic root of 150077129 is about 531.4203376454.

The spelling of 150077129 in words is "one hundred fifty million, seventy-seven thousand, one hundred twenty-nine".