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2323112120 = 235717946351
BaseRepresentation
bin1000101001110111…
…1110000010111000
312222220100022201122
42022131332002320
514224204041440
61022304204412
7111366061430
oct21235760270
95886308648
102323112120
11a9237757a
1254a009708
132b03a7c74
141807672c0
15d8e397b5
hex8a77e0b8

2323112120 has 64 divisors (see below), whose sum is σ = 6007219200. Its totient is φ = 792028800.

The previous prime is 2323112093. The next prime is 2323112137. The reversal of 2323112120 is 212113232.

2323112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26945 + ... + 73295.

It is an arithmetic number, because the mean of its divisors is an integer number (93862800).

Almost surely, 22323112120 is an apocalyptic number.

2323112120 is a gapful number since it is divisible by the number (20) 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 2323112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003609600).

2323112120 is an abundant number, since it is smaller than the sum of its proper divisors (3684107080).

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

2323112120 is a wasteful number, since it uses less digits than its factorization.

2323112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46548 (or 46544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2323112120 is about 48198.6734257282. The cubic root of 2323112120 is about 1324.4128633968.

Adding to 2323112120 its reverse (212113232), we get a palindrome (2535225352).

It can be divided in two parts, 2323112 and 120, that added together give a palindrome (2323232).

The spelling of 2323112120 in words is "two billion, three hundred twenty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2506 3580 5012 6265 7160 10024 12530 25060 46351 50120 92702 185404 231755 324457 370808 463510 648914 927020 1297828 1622285 1854040 2595656 3244570 6489140 8296829 12978280 16593658 33187316 41484145 58077803 66374632 82968290 116155606 165936580 232311212 290389015 331873160 464622424 580778030 1161556060 2323112120