Search a number
-
+
111021221021220 = 22335601547762459
BaseRepresentation
bin11001001111100100100100…
…011100010000011000100100
3112120002112011210001210002000
4121033210210130100120210
5104022432430040134340
61032042240030245300
732246006232132246
oct3117444434203044
9476075153053060
10111021221021220
1132413920a49454
12105507a6356830
1349c4343bb9293
141d5b6548b2096
15cc7db3ed3d30
hex64f924710624

111021221021220 has 192 divisors, whose sum is σ = 346042770796800. Its totient is φ = 29550528691200.

The previous prime is 111021221021177. The next prime is 111021221021233. The reversal of 111021221021220 is 22120122120111.

111021221021220 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 212 + 210 + 21 + 220 = 666.

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 = 111021221021193 and 111021221021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777474351 + ... + 1777536809.

It is an arithmetic number, because the mean of its divisors is an integer number (1802306097900).

Almost surely, 2111021221021220 is an apocalyptic number.

111021221021220 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 111021221021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173021385398400).

111021221021220 is an abundant number, since it is smaller than the sum of its proper divisors (235021549775580).

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

111021221021220 is a wasteful number, since it uses less digits than its factorization.

111021221021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68555 (or 68547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111021221021220 its reverse (22120122120111), we get a palindrome (133141343141331).

The spelling of 111021221021220 in words is "one hundred eleven trillion, twenty-one billion, two hundred twenty-one million, twenty-one thousand, two hundred twenty".