Search a number
-
+
110023200312 = 2337338637247
BaseRepresentation
bin110011001110111100…
…1001100111000111000
3101111222201001200012220
41212131321030320320
53300311414402222
6122313255004040
710643322525564
oct1463571147070
9344881050186
10110023200312
114272a256923
12193a6669620
13a4b5260bbc
14547a3026a4
152cde17bb5c
hex199de4ce38

110023200312 has 64 divisors (see below), whose sum is σ = 275790458880. Its totient is φ = 36576880512.

The previous prime is 110023200293. The next prime is 110023200319. The reversal of 110023200312 is 213002320011.

110023200312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 110023200291 and 110023200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110023200319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15178273 + ... + 15185519.

It is an arithmetic number, because the mean of its divisors is an integer number (4309225920).

Almost surely, 2110023200312 is an apocalyptic number.

110023200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110023200312 is an abundant number, since it is smaller than the sum of its proper divisors (165767258568).

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

110023200312 is a wasteful number, since it uses less digits than its factorization.

110023200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 110023200312 its reverse (213002320011), we get a palindrome (323025520323).

The spelling of 110023200312 in words is "one hundred ten billion, twenty-three million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 733 863 1466 1726 2199 2589 2932 3452 4398 5178 5864 6904 7247 8796 10356 14494 17592 20712 21741 28988 43482 57976 86964 173928 632579 1265158 1897737 2530316 3795474 5060632 5312051 6254161 7590948 10624102 12508322 15181896 15936153 18762483 21248204 25016644 31872306 37524966 42496408 50033288 63744612 75049932 127489224 150099864 4584300013 9168600026 13752900039 18337200052 27505800078 36674400104 55011600156 110023200312