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11232210231 = 3211304137309
BaseRepresentation
bin10100111010111110…
…11110110100110111
31001222210101101210100
422131133132310313
5141000421211411
65054321125143
7545226132414
oct123537366467
931883341710
1011232210231
114844320880
1222157897b3
1310a007b958
14787a7910b
1545b15c456
hex29d7ded37

11232210231 has 24 divisors (see below), whose sum is σ = 17705535120. Its totient is φ = 6804979200.

The previous prime is 11232210217. The next prime is 11232210247. The reversal of 11232210231 is 13201223211.

11232210231 is a `hidden beast` number, since 112 + 322 + 1 + 0 + 231 = 666.

It is not a de Polignac number, because 11232210231 - 26 = 11232210167 is a prime.

It is a super-2 number, since 2×112322102312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282405 + ... + 319713.

It is an arithmetic number, because the mean of its divisors is an integer number (737730630).

Almost surely, 211232210231 is an apocalyptic number.

11232210231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11232210231 is a deficient number, since it is larger than the sum of its proper divisors (6473324889).

11232210231 is a wasteful number, since it uses less digits than its factorization.

11232210231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40367 (or 40364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11232210231 its reverse (13201223211), we get a palindrome (24433433442).

The spelling of 11232210231 in words is "eleven billion, two hundred thirty-two million, two hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 3041 9123 27369 33451 37309 100353 111927 301059 335781 410399 1231197 3693591 113456669 340370007 1021110021 1248023359 3744070077 11232210231