Search a number
-
+
1010093231 = 7232272777
BaseRepresentation
bin111100001101001…
…100110010101111
32121101200001102102
4330031030302233
54032040440411
6244121445315
734013436140
oct7415146257
92541601372
101010093231
11479197aa4
1224234083b
13131362304
1498217ac7
155da26d3b
hex3c34ccaf

1010093231 has 12 divisors (see below), whose sum is σ = 1206769872. Its totient is φ = 828147936.

The previous prime is 1010093221. The next prime is 1010093237. The reversal of 1010093231 is 1323900101.

It is not a de Polignac number, because 1010093231 - 26 = 1010093167 is a prime.

It is a super-2 number, since 2×10100932312 = 2040576670624038722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010093237) 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 in 11 ways as a sum of consecutive naturals, for example, 132686 + ... + 140091.

It is an arithmetic number, because the mean of its divisors is an integer number (100564156).

Almost surely, 21010093231 is an apocalyptic number.

1010093231 is a deficient number, since it is larger than the sum of its proper divisors (196676641).

1010093231 is an equidigital number, since it uses as much as digits as its factorization.

1010093231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272830 (or 272807 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 1010093231 is about 31781.9639261012. The cubic root of 1010093231 is about 1003.3531541235.

Adding to 1010093231 its reverse (1323900101), we get a palindrome (2333993332).

The spelling of 1010093231 in words is "one billion, ten million, ninety-three thousand, two hundred thirty-one".

Divisors: 1 7 23 161 529 3703 272777 1909439 6273871 43917097 144299033 1010093231