Search a number
-
+
110545340445 = 32517971489729
BaseRepresentation
bin110011011110100000…
…1000000100000011101
3101120100002120010211100
41212331001000200131
53302344101343240
6122441150143313
710662262614201
oct1467501004035
9346302503740
10110545340445
1142977a654a1
12195114b1b39
13a569498567
1454c97bcb01
152d1ee19e30
hex19bd04081d

110545340445 has 48 divisors (see below), whose sum is σ = 204974930160. Its totient is φ = 54917332992.

The previous prime is 110545340431. The next prime is 110545340459. The reversal of 110545340445 is 544043545011.

110545340445 is a `hidden beast` number, since 110 + 5 + 4 + 534 + 0 + 4 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (110545340431) and next prime (110545340459).

It can be written as a sum of positive squares in 8 ways, for example, as 7317433764 + 103227906681 = 85542^2 + 321291^2 .

It is not a de Polignac number, because 110545340445 - 213 = 110545332253 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670660 + ... + 819069.

It is an arithmetic number, because the mean of its divisors is an integer number (4270311045).

Almost surely, 2110545340445 is an apocalyptic number.

110545340445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110545340445 is a deficient number, since it is larger than the sum of its proper divisors (94429589715).

110545340445 is a wasteful number, since it uses less digits than its factorization.

110545340445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489854 (or 1489851 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 110545340445 its reverse (544043545011), we get a palindrome (654588885456).

The spelling of 110545340445 in words is "one hundred ten billion, five hundred forty-five million, three hundred forty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 97 153 255 291 485 765 873 1455 1649 4365 4947 8245 14841 24735 74205 1489729 4469187 7448645 13407561 22345935 25325393 67037805 75976179 126626965 144503713 227928537 379880895 433511139 722518565 1139642685 1300533417 2167555695 2456563121 6502667085 7369689363 12282815605 22109068089 36848446815 110545340445