Search a number
-
+
111201101210220 = 2235721719971207223
BaseRepresentation
bin11001010010001100000110…
…001000101110001001101100
3112120201201110221101011112020
4121102030012020232021230
5104033404323402211340
61032301025231110140
732265004644406200
oct3122140610561154
9476651427334466
10111201101210220
113248313869887a
121057b627972350
134a082aca71938
141d6623a800b00
15ccc8e0e229d0
hex65230622e26c

111201101210220 has 576 divisors, whose sum is σ = 407850101406720. Its totient is φ = 22429528031232.

The previous prime is 111201101210197. The next prime is 111201101210233. The reversal of 111201101210220 is 22012101102111.

It is a happy number.

It is a super-3 number, since 3×1112011012102203 (a number of 43 digits) contains 333 as substring.

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 111201101210220.

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 191 ways as a sum of consecutive naturals, for example, 91509529 + ... + 92716751.

It is an arithmetic number, because the mean of its divisors is an integer number (708073092720).

Almost surely, 2111201101210220 is an apocalyptic number.

111201101210220 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 111201101210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203925050703360).

111201101210220 is an abundant number, since it is smaller than the sum of its proper divisors (296649000196500).

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

111201101210220 is a wasteful number, since it uses less digits than its factorization.

111201101210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207382 (or 1207373 counting only the distinct ones).

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

Adding to 111201101210220 its reverse (22012101102111), we get a palindrome (133213202312331).

The spelling of 111201101210220 in words is "one hundred eleven trillion, two hundred one billion, one hundred one million, two hundred ten thousand, two hundred twenty".