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1230115329 = 384332
BaseRepresentation
bin100100101010010…
…0001001000000001
310011201200100000000
41021110201020001
510004402142304
6322021350213
742324544032
oct11124411001
93151610000
101230115329
11581405943
122a3b68369
13167b09ac1
14b952ca89
1572ed8939
hex49521201

1230115329 has 27 divisors (see below), whose sum is σ = 1849350243. Its totient is φ = 818182944.

The previous prime is 1230115273. The next prime is 1230115363. The reversal of 1230115329 is 9235110321.

The square root of 1230115329 is 35073.

It is a perfect power (a square), and thus also a powerful number.

1230115329 is a `hidden beast` number, since 123 + 0 + 1 + 1 + 532 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137945025 + 1092170304 = 11745^2 + 33048^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1230115329 - 29 = 1230114817 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1230115729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2840697 + ... + 2841129.

Almost surely, 21230115329 is an apocalyptic number.

1230115329 is the 35073-rd square number.

1230115329 is the 17537-th centered octagonal number.

It is an amenable number.

1230115329 is a deficient number, since it is larger than the sum of its proper divisors (619234914).

1230115329 is an frugal number, since it uses more digits than its factorization.

1230115329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 1230115329 is about 1071.4747559749.

The spelling of 1230115329 in words is "one billion, two hundred thirty million, one hundred fifteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 243 433 729 1299 2187 3897 6561 11691 35073 105219 187489 315657 562467 946971 1687401 2840913 5062203 15186609 45559827 136679481 410038443 1230115329