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112111311132 = 22323784167651
BaseRepresentation
bin110100001101001011…
…0101101100100011100
3101201101020012200202200
41220122112231210130
53314100443424012
6123300410251500
711046136264332
oct1503226554434
9351336180680
10112111311132
1143600a04447
1219889a26b90
13a758a48332
1455d7775b52
152db26463dc
hex1a1a5ad91c

112111311132 has 36 divisors (see below), whose sum is σ = 291051740616. Its totient is φ = 36360424800.

The previous prime is 112111311107. The next prime is 112111311139. The reversal of 112111311132 is 231113111211.

112111311132 is a `hidden beast` number, since 11 + 211 + 1 + 311 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1121113111322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111311139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42082494 + ... + 42085157.

Almost surely, 2112111311132 is an apocalyptic number.

112111311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112111311132 is an abundant number, since it is smaller than the sum of its proper divisors (178940429484).

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

112111311132 is a wasteful number, since it uses less digits than its factorization.

112111311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84167698 (or 84167693 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 112111311132 its reverse (231113111211), we get a palindrome (343224422343).

The spelling of 112111311132 in words is "one hundred twelve billion, one hundred eleven million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 84167651 168335302 252502953 336670604 505005906 757508859 1010011812 1515017718 3030035436 3114203087 6228406174 9342609261 12456812348 18685218522 28027827783 37370437044 56055655566 112111311132