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1143312100 = 225272233329
BaseRepresentation
bin100010000100101…
…1000111011100100
32221200100021100121
41010021120323210
54320141441400
6305241051324
740221664300
oct10411307344
92850307317
101143312100
11537408337
1227aa86b44
13152b36c48
14abbb4d00
156a58e21a
hex44258ee4

1143312100 has 54 divisors (see below), whose sum is σ = 2886058770. Its totient is φ = 391991040.

The previous prime is 1143312091. The next prime is 1143312109. The reversal of 1143312100 is 12133411.

1143312100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1143312091) and next prime (1143312109).

It can be written as a sum of positive squares in 3 ways, for example, as 17172736 + 1126139364 = 4144^2 + 33558^2 .

It is not an unprimeable number, because it can be changed into a prime (1143312109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 111765 + ... + 121564.

Almost surely, 21143312100 is an apocalyptic number.

1143312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143312100 is an abundant number, since it is smaller than the sum of its proper divisors (1742746670).

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

1143312100 is a wasteful number, since it uses less digits than its factorization.

1143312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233357 (or 233343 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1143312100 is about 33812.8984264881. The cubic root of 1143312100 is about 1045.6546343497.

Adding to 1143312100 its reverse (12133411), we get a palindrome (1155445511).

Subtracting from 1143312100 its reverse (12133411), we obtain a square (1131178689 = 336332).

The spelling of 1143312100 in words is "one billion, one hundred forty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 233329 466658 933316 1166645 1633303 2333290 3266606 4666580 5833225 6533212 8166515 11433121 11666450 16333030 22866242 23332900 32666060 40832575 45732484 57165605 81665150 114331210 163330300 228662420 285828025 571656050 1143312100