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2301312132 = 2232739723003
BaseRepresentation
bin1000100100101011…
…0011110010000100
312221101022202202200
42021022303302010
514203113442012
61020205034500
7111012554550
oct21112636204
95841282680
102301312132
11a81037959
12542855a30
132a8a14472
1417b8d0860
15d70803dc
hex892b3c84

2301312132 has 72 divisors (see below), whose sum is σ = 6665270976. Its totient is φ = 655833024.

The previous prime is 2301312109. The next prime is 2301312157. The reversal of 2301312132 is 2312131032.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88543 + ... + 111545.

It is an arithmetic number, because the mean of its divisors is an integer number (92573208).

Almost surely, 22301312132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332635488).

2301312132 is an abundant number, since it is smaller than the sum of its proper divisors (4363958844).

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

2301312132 is a wasteful number, since it uses less digits than its factorization.

2301312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23417 (or 23412 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2301312132 is about 47971.9932043687. The cubic root of 2301312132 is about 1320.2570917972.

Adding to 2301312132 its reverse (2312131032), we get a palindrome (4613443164).

The spelling of 2301312132 in words is "two billion, three hundred one million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 397 794 1191 1588 2382 2779 3573 4764 5558 7146 8337 11116 14292 16674 23003 25011 33348 46006 50022 69009 92012 100044 138018 161021 207027 276036 322042 414054 483063 644084 828108 966126 1449189 1932252 2898378 5796756 9132191 18264382 27396573 36528764 54793146 63925337 82189719 109586292 127850674 164379438 191776011 255701348 328758876 383552022 575328033 767104044 1150656066 2301312132