Search a number
-
+
111221131032 = 233211140430721
BaseRepresentation
bin110011110010101001…
…0111100011100011000
3101122002012011212020100
41213211102330130120
53310240102143112
6123032210455400
711015110005144
oct1474522743430
9348065155210
10111221131032
1143194479a10
121967b894560
13a6464ac54b
145551454224
152d5e4092dc
hex19e54bc718

111221131032 has 48 divisors (see below), whose sum is σ = 328607889480. Its totient is φ = 33703372800.

The previous prime is 111221131031. The next prime is 111221131069. The reversal of 111221131032 is 230131122111.

111221131032 is a `hidden beast` number, since 1 + 112 + 211 + 310 + 32 = 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 = 111221130996 and 111221131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221131031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70214569 + ... + 70216152.

Almost surely, 2111221131032 is an apocalyptic number.

111221131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111221131032 is an abundant number, since it is smaller than the sum of its proper divisors (217386758448).

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

111221131032 is a wasteful number, since it uses less digits than its factorization.

111221131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140430744 (or 140430737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111221131032 its reverse (230131122111), we get a palindrome (341352253143).

The spelling of 111221131032 in words is "one hundred eleven billion, two hundred twenty-one million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 140430721 280861442 421292163 561722884 842584326 1123445768 1263876489 1544737931 1685168652 2527752978 3089475862 3370337304 4634213793 5055505956 6178951724 9268427586 10111011912 12357903448 13902641379 18536855172 27805282758 37073710344 55610565516 111221131032