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112132113303231 = 337593291604779
BaseRepresentation
bin11001011111101111001010…
…110010000000011010111111
3112201000201120202212210202000
4121133233022302000122333
5104144133032001200411
61034252440503233343
732422164204544110
oct3137571262003277
9481021522783660
10112132113303231
1132801a647550aa
12106abb55a48853
134a750224a5428
141d9931a80a207
15ce6c30d47956
hex65fbcac806bf

112132113303231 has 16 divisors (see below), whose sum is σ = 189853313529600. Its totient is φ = 64075493316024.

The previous prime is 112132113303211. The next prime is 112132113303263. The reversal of 112132113303231 is 132303311231211.

112132113303231 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 2 + 1 + 1 + 330 + 323 + 1 = 666.

It is not a de Polignac number, because 112132113303231 - 213 = 112132113295039 is a prime.

It is a super-2 number, since 2×1121321133032312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112132113303195 and 112132113303204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132113303211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296645802201 + ... + 296645802578.

It is an arithmetic number, because the mean of its divisors is an integer number (11865832095600).

Almost surely, 2112132113303231 is an apocalyptic number.

112132113303231 is a deficient number, since it is larger than the sum of its proper divisors (77721200226369).

112132113303231 is an equidigital number, since it uses as much as digits as its factorization.

112132113303231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593291604795 (or 593291604789 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 112132113303231 its reverse (132303311231211), we get a palindrome (244435424534442).

The spelling of 112132113303231 in words is "one hundred twelve trillion, one hundred thirty-two billion, one hundred thirteen million, three hundred three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 593291604779 1779874814337 4153041233453 5339624443011 12459123700359 16018873329033 37377371101077 112132113303231