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4314528100 = 2252101427181
BaseRepresentation
bin1000000010010101…
…00111100101100100
3102010200112201220001
410001022213211210
532314004344400
61552043151044
7211626612061
oct40112474544
912120481801
104314528100
111914490903
12a04b15484
13539b3810c
142cd029c68
151a3ba3a6a
hex1012a7964

4314528100 has 36 divisors (see below), whose sum is σ = 9455246388. Its totient is φ = 1708720000.

The previous prime is 4314528089. The next prime is 4314528133. The reversal of 4314528100 is 18254134.

It can be written as a sum of positive squares in 6 ways, for example, as 77299264 + 4237228836 = 8792^2 + 65094^2 .

It is a super-2 number, since 2×43145281002 = 37230305451379220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 203491 + ... + 223690.

It is an arithmetic number, because the mean of its divisors is an integer number (262645733).

Almost surely, 24314528100 is an apocalyptic number.

It is an amenable number.

4314528100 is an abundant number, since it is smaller than the sum of its proper divisors (5140718288).

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

4314528100 is a wasteful number, since it uses less digits than its factorization.

4314528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427296 (or 427289 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4314528100 is about 65685.0675572462. The cubic root of 4314528100 is about 1627.9626395248.

The spelling of 4314528100 in words is "four billion, three hundred fourteen million, five hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 427181 854362 1708724 2135905 4271810 8543620 10679525 21359050 42718100 43145281 86290562 172581124 215726405 431452810 862905620 1078632025 2157264050 4314528100