Search a number
-
+
1101012231 = 311232950021
BaseRepresentation
bin100000110100000…
…0001110100000111
32211201202012211210
41001220001310013
54223324342411
6301130302503
736166310124
oct10150016407
92751665753
101101012231
11515546870
12268887a33
13147146637
14a632374b
15669d5ca6
hex41a01d07

1101012231 has 32 divisors (see below), whose sum is σ = 1728760320. Its totient is φ = 616246400.

The previous prime is 1101012197. The next prime is 1101012257. The reversal of 1101012231 is 1322101011.

It is not a de Polignac number, because 1101012231 - 27 = 1101012103 is a prime.

It is a super-3 number, since 3×11010122313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101012631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3000 + ... + 47021.

It is an arithmetic number, because the mean of its divisors is an integer number (54023760).

Almost surely, 21101012231 is an apocalyptic number.

1101012231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101012231 is a deficient number, since it is larger than the sum of its proper divisors (627748089).

1101012231 is a wasteful number, since it uses less digits than its factorization.

1101012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50087.

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

The square root of 1101012231 is about 33181.5043510688. The cubic root of 1101012231 is about 1032.5966565431.

Adding to 1101012231 its reverse (1322101011), we get a palindrome (2423113242).

The spelling of 1101012231 in words is "one billion, one hundred one million, twelve thousand, two hundred thirty-one".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 22011 50021 150063 550231 1150483 1450609 1650693 3451449 4351827 12655313 15956699 33364007 37965939 47870097 100092021 367004077 1101012231