Search a number
-
+
111431440332 = 2232103127236627
BaseRepresentation
bin110011111000111010…
…1001101011111001100
3101122121211220200100200
41213301311031133030
53311202422042312
6123105122253500
711023242420612
oct1476165153714
9348554820320
10111431440332
1143292163453
121971a1b7290
13a67ac36114
14557135b6b2
152d72aed0dc
hex19f1d4d7cc

111431440332 has 72 divisors (see below), whose sum is σ = 286649266176. Its totient is φ = 36493408224.

The previous prime is 111431440297. The next prime is 111431440339. The reversal of 111431440332 is 233044134111.

111431440332 is a `hidden beast` number, since 1 + 1 + 14 + 314 + 4 + 0 + 332 = 666.

111431440332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 111431440296 and 111431440305.

It is not an unprimeable number, because it can be changed into a prime (111431440339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352603 + ... + 589229.

It is an arithmetic number, because the mean of its divisors is an integer number (3981239808).

Almost surely, 2111431440332 is an apocalyptic number.

111431440332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111431440332 is an abundant number, since it is smaller than the sum of its proper divisors (175217825844).

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

111431440332 is a wasteful number, since it uses less digits than its factorization.

111431440332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236867 (or 236862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 111431440332 its reverse (233044134111), we get a palindrome (344475574443).

The spelling of 111431440332 in words is "one hundred eleven billion, four hundred thirty-one million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 127 206 254 309 381 412 508 618 762 927 1143 1236 1524 1854 2286 3708 4572 13081 26162 39243 52324 78486 117729 156972 235458 236627 470916 473254 709881 946508 1419762 2129643 2839524 4259286 8518572 24372581 30051629 48745162 60103258 73117743 90154887 97490324 120206516 146235486 180309774 219353229 270464661 292470972 360619548 438706458 540929322 877412916 1081858644 3095317787 6190635574 9285953361 12381271148 18571906722 27857860083 37143813444 55715720166 111431440332