Search a number
-
+
11000100221112 = 2332923767721757
BaseRepresentation
bin1010000000010010100100…
…0100001111000010111000
31102221121011220020102211110
42200010221010033002320
52420211201124033422
635221213135400320
72213505511066212
oct240045104170270
942847156212743
1011000100221112
113561130891582
121297a873830a0
1361a3c71143a2
142a059c9c35b2
151412103a460c
hexa012910f0b8

11000100221112 has 192 divisors, whose sum is σ = 29295550833120. Its totient is φ = 3439333287936.

The previous prime is 11000100221107. The next prime is 11000100221167. The reversal of 11000100221112 is 21112200100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505578138 + ... + 505599894.

Almost surely, 211000100221112 is an apocalyptic number.

11000100221112 is a gapful number since it is divisible by the number (12) 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 11000100221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647775416560).

11000100221112 is an abundant number, since it is smaller than the sum of its proper divisors (18295450612008).

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

11000100221112 is a wasteful number, since it uses less digits than its factorization.

11000100221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22538 (or 22505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000100221112 its reverse (21112200100011), we get a palindrome (32112300321123).

The spelling of 11000100221112 in words is "eleven trillion, one hundred million, two hundred twenty-one thousand, one hundred twelve".