Search a number
-
+
1000121331 = 31159513673
BaseRepresentation
bin111011100111001…
…010001111110011
32120200220102112210
4323213022033303
54022012340311
6243124023203
733532614426
oct7347121763
92520812483
101000121331
114735a6a60
1223ab31b03
1312c280491
1496b7d9bd
155cc073a6
hex3b9ca3f3

1000121331 has 16 divisors (see below), whose sum is σ = 1479381120. Its totient is φ = 595859520.

The previous prime is 1000121299. The next prime is 1000121341. The reversal of 1000121331 is 1331210001.

It is not a de Polignac number, because 1000121331 - 25 = 1000121299 is a prime.

It is a super-2 number, since 2×10001213312 = 2000485353442423122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254890 + ... + 258783.

It is an arithmetic number, because the mean of its divisors is an integer number (92461320).

Almost surely, 21000121331 is an apocalyptic number.

1000121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000121331 is a deficient number, since it is larger than the sum of its proper divisors (479259789).

1000121331 is a wasteful number, since it uses less digits than its factorization.

1000121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513746.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1000121331 is about 31624.6949550506. The cubic root of 1000121331 is about 1000.0404420311.

Adding to 1000121331 its reverse (1331210001), we get a palindrome (2331331332).

The spelling of 1000121331 in words is "one billion, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 59 177 649 1947 513673 1541019 5650403 16951209 30306707 90920121 333373777 1000121331