Search a number
-
+
111221002112 = 2711233434443
BaseRepresentation
bin110011110010101001…
…0011100111110000000
3101122002011221022101112
41213211102130332000
53310240034031422
6123032204022452
711015105630243
oct1474522347600
9348064838345
10111221002112
11431943a1070
121967b831a28
13a64646596c
14555141d25a
152d5e3d0ee2
hex19e549cf80

111221002112 has 64 divisors (see below), whose sum is σ = 252225567360. Its totient is φ = 48356943360.

The previous prime is 111221002099. The next prime is 111221002117. The reversal of 111221002112 is 211200122111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1112210021122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221002117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1684838 + ... + 1749605.

It is an arithmetic number, because the mean of its divisors is an integer number (3941024490).

Almost surely, 2111221002112 is an apocalyptic number.

It is an amenable number.

111221002112 is an abundant number, since it is smaller than the sum of its proper divisors (141004565248).

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

111221002112 is a wasteful number, since it uses less digits than its factorization.

111221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434491 (or 3434479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111221002112 its reverse (211200122111), we get a palindrome (322421124223).

The spelling of 111221002112 in words is "one hundred eleven billion, two hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 32384 3434443 6868886 13737772 27475544 37778873 54951088 75557746 78992189 109902176 151115492 157984378 219804352 302230984 315968756 439608704 604461968 631937512 868914079 1208923936 1263875024 1737828158 2417847872 2527750048 3475656316 4835695744 5055500096 6951312632 10111000192 13902625264 27805250528 55610501056 111221002112