Search a number
-
+
111122122200200 = 235223832331249133
BaseRepresentation
bin11001010001000010100010…
…100111101101010010001000
3112120110011121202102202110222
4121101002202213231102020
5104031111101240401300
61032200444224525212
732256210531036566
oct3121024247552210
9476404552382428
10111122122200200
113245269a041671
1210568265a80808
134a00a04315c07
141d624a74b8a36
15cca81c3ce785
hex6510a29ed488

111122122200200 has 192 divisors, whose sum is σ = 274011233408640. Its totient is φ = 41823737415680.

The previous prime is 111122122200139. The next prime is 111122122200227. The reversal of 111122122200200 is 2002221221111.

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 47 ways as a sum of consecutive naturals, for example, 88334834 + ... + 89583966.

It is an arithmetic number, because the mean of its divisors is an integer number (1427141840670).

Almost surely, 2111122122200200 is an apocalyptic number.

111122122200200 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 111122122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137005616704320).

111122122200200 is an abundant number, since it is smaller than the sum of its proper divisors (162889111208440).

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

111122122200200 is a wasteful number, since it uses less digits than its factorization.

111122122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249488 (or 1249479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 111122122200200 its reverse (2002221221111), we get a palindrome (113124343421311).

The spelling of 111122122200200 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred".