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1142113220 = 225413374133
BaseRepresentation
bin100010000010011…
…0100001111000100
32221121002100210122
41010010310033010
54314340110340
6305155241112
740205542103
oct10404641704
92847070718
101142113220
11536769626
1227a5a9198
13152807351
14ab98203a
156a403db5
hex441343c4

1142113220 has 48 divisors (see below), whose sum is σ = 2464823088. Its totient is φ = 444272640.

The previous prime is 1142113201. The next prime is 1142113229. The reversal of 1142113220 is 223112411.

It can be written as a sum of positive squares in 8 ways, for example, as 132526144 + 1009587076 = 11512^2 + 31774^2 .

It is not an unprimeable number, because it can be changed into a prime (1142113229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274274 + ... + 278406.

It is an arithmetic number, because the mean of its divisors is an integer number (51350481).

Almost surely, 21142113220 is an apocalyptic number.

1142113220 is a gapful number since it is divisible by the number (10) 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 1142113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232411544).

1142113220 is an abundant number, since it is smaller than the sum of its proper divisors (1322709868).

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

1142113220 is a wasteful number, since it uses less digits than its factorization.

1142113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1142113220 is about 33795.1656306046. The cubic root of 1142113220 is about 1045.2890144796.

Adding to 1142113220 its reverse (223112411), we get a palindrome (1365225631).

The spelling of 1142113220 in words is "one billion, one hundred forty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 337 410 674 820 1348 1685 3370 4133 6740 8266 13817 16532 20665 27634 41330 55268 69085 82660 138170 169453 276340 338906 677812 847265 1392821 1694530 2785642 3389060 5571284 6964105 13928210 27856420 57105661 114211322 228422644 285528305 571056610 1142113220