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110033431134 = 231129223257797
BaseRepresentation
bin110011001111010000…
…0001110101001011110
3101112000102022110021020
41212132200032221132
53300322024244014
6122314302145010
710643505506214
oct1463640165136
9345012273236
10110033431134
1142735004450
12193a9b82166
13a4b7403843
14547b806cb4
152cdeeed1a9
hex199e80ea5e

110033431134 has 64 divisors (see below), whose sum is σ = 249465968640. Its totient is φ = 32049198720.

The previous prime is 110033431133. The next prime is 110033431171. The reversal of 110033431134 is 431134330011.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110033431133) 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 31 ways as a sum of consecutive naturals, for example, 297924 + ... + 555720.

It is an arithmetic number, because the mean of its divisors is an integer number (3897905760).

Almost surely, 2110033431134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110033431134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124732984320).

110033431134 is an abundant number, since it is smaller than the sum of its proper divisors (139432537506).

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

110033431134 is a wasteful number, since it uses less digits than its factorization.

110033431134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258065.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 110033431134 its reverse (431134330011), we get a palindrome (541167761145).

The spelling of 110033431134 in words is "one hundred ten billion, thirty-three million, four hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 223 319 446 638 669 957 1338 1914 2453 4906 6467 7359 12934 14718 19401 38802 71137 142274 213411 257797 426822 515594 773391 1546782 2835767 5671534 7476113 8507301 14952226 17014602 22428339 44856678 57488731 82237243 114977462 164474486 172466193 246711729 344932386 493423458 632376041 1264752082 1667173199 1897128123 3334346398 3794256246 5001519597 10003039194 18338905189 36677810378 55016715567 110033431134