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2312312112 = 2432111459793
BaseRepresentation
bin1000100111010011…
…0001010100110000
312222011000121220100
42021310301110300
514213422441422
61021240512400
7111205220505
oct21164612460
95864017810
102312312112
11a87270350
1254647b700
132ab096226
1417d1554ac
15d80047ac
hex89d31530

2312312112 has 60 divisors (see below), whose sum is σ = 7059563784. Its totient is φ = 700700160.

The previous prime is 2312312111. The next prime is 2312312113. The reversal of 2312312112 is 2112132132.

It is an interprime number because it is at equal distance from previous prime (2312312111) and next prime (2312312113).

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 not an unprimeable number, because it can be changed into a prime (2312312111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728313 + ... + 731480.

Almost surely, 22312312112 is an apocalyptic number.

2312312112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2312312112 is an abundant number, since it is smaller than the sum of its proper divisors (4747251672).

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

2312312112 is a wasteful number, since it uses less digits than its factorization.

2312312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459818 (or 1459809 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2312312112 is about 48086.5065480952. The cubic root of 2312312112 is about 1322.3573028903.

Adding to 2312312112 its reverse (2112132132), we get a palindrome (4424444244).

The spelling of 2312312112 in words is "two billion, three hundred twelve million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1459793 2919586 4379379 5839172 8758758 11678344 13138137 16057723 17517516 23356688 26276274 32115446 35035032 48173169 52552548 64230892 70070064 96346338 105105096 128461784 144519507 192692676 210210192 256923568 289039014 385385352 578078028 770770704 1156156056 2312312112