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2321111540 = 2251121377001
BaseRepresentation
bin1000101001011001…
…0101100111110100
312222202120200110002
42022112111213310
514223201032130
61022153250432
7111343060016
oct21226254764
95882520402
102321111540
11a91230500
12549403a18
132acb574a7
141803a61b6
15d8b91b45
hex8a5959f4

2321111540 has 72 divisors (see below), whose sum is σ = 5397617736. Its totient is φ = 837760000.

The previous prime is 2321111531. The next prime is 2321111587. The reversal of 2321111540 is 451111232.

2321111540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 239197156 + 2081914384 = 15466^2 + 45628^2 .

It is a super-2 number, since 2×23211115402 = 10775117562242343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328040 + ... + 335040.

It is an arithmetic number, because the mean of its divisors is an integer number (74966913).

Almost surely, 22321111540 is an apocalyptic number.

2321111540 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 2321111540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698808868).

2321111540 is an abundant number, since it is smaller than the sum of its proper divisors (3076506196).

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

2321111540 is a wasteful number, since it uses less digits than its factorization.

2321111540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2321111540 is about 48177.9154800205. The cubic root of 2321111540 is about 1324.0325754194.

Adding to 2321111540 its reverse (451111232), we get a palindrome (2772222772).

The spelling of 2321111540 in words is "two billion, three hundred twenty-one million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 137 220 242 274 484 548 605 685 1210 1370 1507 2420 2740 3014 6028 7001 7535 14002 15070 16577 28004 30140 33154 35005 66308 70010 77011 82885 140020 154022 165770 308044 331540 385055 770110 847121 959137 1540220 1694242 1918274 3388484 3836548 4235605 4795685 8471210 9591370 10550507 16942420 19182740 21101014 42202028 52752535 105505070 116055577 211010140 232111154 464222308 580277885 1160555770 2321111540