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1300221117 = 321317364237
BaseRepresentation
bin100110101111111…
…1100110010111101
310100121121002001200
41031133330302331
510130324033432
6333004130113
744135461056
oct11537746275
93317532050
101300221117
11607a39408
12303536939
131794b4810
14c497b72d
1579235a7c
hex4d7fccbd

1300221117 has 24 divisors (see below), whose sum is σ = 2034288984. Its totient is φ = 795498624.

The previous prime is 1300221101. The next prime is 1300221133. The reversal of 1300221117 is 7111220031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1300221101) and next prime (1300221133).

It can be written as a sum of positive squares in 4 ways, for example, as 398960676 + 901260441 = 19974^2 + 30021^2 .

It is not a de Polignac number, because 1300221117 - 24 = 1300221101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1300221117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300221187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11878 + ... + 52359.

It is an arithmetic number, because the mean of its divisors is an integer number (84762041).

Almost surely, 21300221117 is an apocalyptic number.

It is an amenable number.

1300221117 is a deficient number, since it is larger than the sum of its proper divisors (734067867).

1300221117 is a wasteful number, since it uses less digits than its factorization.

1300221117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64429 (or 64426 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1300221117 is about 36058.5789653447. The cubic root of 1300221117 is about 1091.4547578916.

Adding to 1300221117 its reverse (7111220031), we get a palindrome (8411441148).

The spelling of 1300221117 in words is "one billion, three hundred million, two hundred twenty-one thousand, one hundred seventeen".

Divisors: 1 3 9 13 39 117 173 519 1557 2249 6747 20241 64237 192711 578133 835081 2505243 7515729 11113001 33339003 100017009 144469013 433407039 1300221117