Search a number
-
+
111001120121220 = 2235712371158718439
BaseRepresentation
bin11001001111010001110110…
…010101011010000110000100
3112120000121021220200021001020
4121033101312111122012010
5104022120243222334340
61032025113254231140
732244365143244250
oct3117216625320604
9476017256607036
10111001120121220
11324063465737aa
12105489166554b0
1349c248c644304
141d5a6a9043260
15cc75d94869d0
hex64f47655a184

111001120121220 has 192 divisors, whose sum is σ = 355540694691840. Its totient is φ = 25347611294208.

The previous prime is 111001120121207. The next prime is 111001120121257. The reversal of 111001120121220 is 22121021100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111001120121220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6019900761 + ... + 6019919199.

It is an arithmetic number, because the mean of its divisors is an integer number (1851774451520).

Almost surely, 2111001120121220 is an apocalyptic number.

111001120121220 is a gapful number since it is divisible by the number (10) 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 111001120121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177770347345920).

111001120121220 is an abundant number, since it is smaller than the sum of its proper divisors (244539574570620).

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

111001120121220 is a wasteful number, since it uses less digits than its factorization.

111001120121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31282 (or 31280 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111001120121220 its reverse (22121021100111), we get a palindrome (133122141221331).

The spelling of 111001120121220 in words is "one hundred eleven trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".