Search a number
-
+
114131320110 = 2335422708593
BaseRepresentation
bin110101001001011000…
…0011011110100101110
3101220121000012210011000
41222102300123310232
53332220104220420
6124233050141130
711150165133333
oct1522260336456
9356530183130
10114131320110
1144448178055
121a1524217a6
13a9bb3a9c12
145749b5c98a
152e7eb5c690
hex1a92c1bd2e

114131320110 has 32 divisors (see below), whose sum is σ = 304350187680. Its totient is φ = 30435018624.

The previous prime is 114131320103. The next prime is 114131320111. The reversal of 114131320110 is 11023131411.

It is a happy number.

114131320110 is a `hidden beast` number, since 1 + 141 + 313 + 201 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131320111) 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, 211354027 + ... + 211354566.

It is an arithmetic number, because the mean of its divisors is an integer number (9510943365).

Almost surely, 2114131320110 is an apocalyptic number.

114131320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114131320110 is an abundant number, since it is smaller than the sum of its proper divisors (190218867570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114131320110 is a wasteful number, since it uses less digits than its factorization.

114131320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422708609 (or 422708603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 114131320110 its reverse (11023131411), we get a palindrome (125154451521).

The spelling of 114131320110 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 422708593 845417186 1268125779 2113542965 2536251558 3804377337 4227085930 6340628895 7608754674 11413132011 12681257790 19021886685 22826264022 38043773370 57065660055 114131320110