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112110331113 = 32113730606151
BaseRepresentation
bin110100001101001001…
…0111110010011101001
3101201101011100220102200
41220122102332103221
53314100221043423
6123300333250413
711046125043204
oct1503222762351
9351334326380
10112110331113
11436003a5110
1219889633a09
13a758794241
1455d759c93b
152db2500d43
hex1a1a4be4e9

112110331113 has 24 divisors (see below), whose sum is σ = 181433269056. Its totient is φ = 66109284000.

The previous prime is 112110331087. The next prime is 112110331139. The reversal of 112110331113 is 311133011211.

112110331113 is a `hidden beast` number, since 11 + 211 + 0 + 331 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (112110331087) and next prime (112110331139).

It is not a de Polignac number, because 112110331113 - 216 = 112110265577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112110331163) 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 23 ways as a sum of consecutive naturals, for example, 15299413 + ... + 15306738.

It is an arithmetic number, because the mean of its divisors is an integer number (7559719544).

Almost surely, 2112110331113 is an apocalyptic number.

It is an amenable number.

112110331113 is a deficient number, since it is larger than the sum of its proper divisors (69322937943).

112110331113 is a wasteful number, since it uses less digits than its factorization.

112110331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30606205 (or 30606202 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 112110331113 its reverse (311133011211), we get a palindrome (423243342324).

The spelling of 112110331113 in words is "one hundred twelve billion, one hundred ten million, three hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 30606151 91818453 275455359 336667661 1010002983 1132427587 3030008949 3397282761 10191848283 12456703457 37370110371 112110331113