Search a number
129127041 = 3819681
BaseRepresentation
bin1111011001001…
…01001010000001
322222222100000000
413230211022001
5231024031131
620451350213
73125363451
oct754451201
9288870000
10129127041
116698606a
12372b2369
13209a1344
1413213d61
15b509ce6
hex7b25281

129127041 has 18 divisors (see below), whose sum is σ = 193690562. Its totient is φ = 86080320.

The previous prime is 129127039. The next prime is 129127043. The reversal of 129127041 is 140721921.

It is an interprime number because it is at equal distance from previous prime (129127039) and next prime (129127043).

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 531441 = 11340^2 + 729^2 .

It is not a de Polignac number, because 129127041 - 21 = 129127039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 129126996 and 129127014.

It is not an unprimeable number, because it can be changed into a prime (129127043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3280 + ... + 16401.

It is a 2-hyperperfect number.

Almost surely, 2129127041 is an apocalyptic number.

129127041 is the 6561-st octagonal number.

It is an amenable number.

129127041 is a deficient number, since it is larger than the sum of its proper divisors (64563521).

129127041 is an frugal number, since it uses more digits than its factorization.

129127041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19705 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 129127041 is about 11363.4079835233. The cubic root of 129127041 is about 505.4432483903.

Adding to 129127041 its reverse (140721921), we get a palindrome (269848962).

The spelling of 129127041 in words is "one hundred twenty-nine million, one hundred twenty-seven thousand, forty-one".