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2312112132 = 22321117289227
BaseRepresentation
bin1000100111010000…
…0000100000000100
312222010122110120200
42021310000200010
514213400042012
61021232330500
7111203425461
oct21164004004
95863573520
102312112132
11a87144080
125463a3a30
132ab0261b5
1417d102668
15d7eb53dc
hex89d00804

2312112132 has 216 divisors, whose sum is σ = 6879206880. Its totient is φ = 649144320.

The previous prime is 2312112067. The next prime is 2312112157.

2312112132 is nontrivially palindromic in base 10.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10185403 + ... + 10185629.

It is an arithmetic number, because the mean of its divisors is an integer number (31848180).

Almost surely, 22312112132 is an apocalyptic number.

2312112132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439603440).

2312112132 is an abundant number, since it is smaller than the sum of its proper divisors (4567094748).

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

2312112132 is a wasteful number, since it uses less digits than its factorization.

2312112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

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

The square root of 2312112132 is about 48084.4271256298. The cubic root of 2312112132 is about 1322.3191804938.

It can be divided in two parts, 23121 and 12132, that added together give a palindrome (35253).

The spelling of 2312112132 in words is "two billion, three hundred twelve million, one hundred twelve thousand, one hundred thirty-two".