Search a number
-
+
12023165319 = 311364338343
BaseRepresentation
bin10110011001010001…
…01111000110000111
31011000220201002012020
423030220233012013
5144110412242234
65305014054223
7603642135054
oct131450570607
934026632166
1012023165319
11510a844070
1223b664a373
131197bb5909
14820b2c02b
154a57e9549
hex2cca2f187

12023165319 has 8 divisors (see below), whose sum is σ = 17488240512. Its totient is φ = 7286766840.

The previous prime is 12023165267. The next prime is 12023165327. The reversal of 12023165319 is 91356132021.

12023165319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12023165319 - 212 = 12023161223 is a prime.

It is a super-2 number, since 2×120231653192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 364338343 = 12023165319 / (1 + 2 + 0 + 2 + 3 + 1 + 6 + 5 + 3 + 1 + 9).

It is a self number, because there is not a number n which added to its sum of digits gives 12023165319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023165339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182169139 + ... + 182169204.

It is an arithmetic number, because the mean of its divisors is an integer number (2186030064).

Almost surely, 212023165319 is an apocalyptic number.

12023165319 is a deficient number, since it is larger than the sum of its proper divisors (5465075193).

12023165319 is a wasteful number, since it uses less digits than its factorization.

12023165319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364338357.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 12023165319 in words is "twelve billion, twenty-three million, one hundred sixty-five thousand, three hundred nineteen".

Divisors: 1 3 11 33 364338343 1093015029 4007721773 12023165319