Search a number
-
+
22131231120 = 24325231916997
BaseRepresentation
bin10100100111000111…
…111100100110010000
32010010100211000201200
4110213013330212100
5330311043343440
614100021031200
71412301234465
oct244707744620
963110730650
1022131231120
119427559559
124357855500
1321190abc3b
1410dd38166c
15897e01c30
hex5271fc990

22131231120 has 240 divisors, whose sum is σ = 77972723712. Its totient is φ = 5614709760.

The previous prime is 22131231119. The next prime is 22131231127. The reversal of 22131231120 is 2113213122.

22131231120 is a `hidden beast` number, since 2 + 21 + 312 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 22131231093 and 22131231102.

It is not an unprimeable number, because it can be changed into a prime (22131231127) 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 47 ways as a sum of consecutive naturals, for example, 3159462 + ... + 3166458.

Almost surely, 222131231120 is an apocalyptic number.

22131231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38986361856).

22131231120 is an abundant number, since it is smaller than the sum of its proper divisors (55841492592).

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

22131231120 is a wasteful number, since it uses less digits than its factorization.

22131231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22131231120 its reverse (2113213122), we get a palindrome (24244444242).

The spelling of 22131231120 in words is "twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".