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287199528100 = 2252535912
BaseRepresentation
bin1000010110111100110…
…11010000010010100100
31000110022102120200101021
410023132123100102210
514201141034344400
6335534310340524
726515033465312
oct4133633202244
91013272520337
10287199528100
11100889712301
12477b265a744
132110cbaa494
14dc870b50b2
15770da2171a
hex42de6d04a4

287199528100 has 27 divisors (see below), whose sum is σ = 623234605441. Its totient is φ = 114877667600.

The previous prime is 287199528047. The next prime is 287199528101. The reversal of 287199528100 is 1825991782.

The square root of 287199528100 is 535910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103391830116 + 183807697984 = 321546^2 + 428728^2 .

It is a super-2 number, since 2×2871995281002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287199528101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5332305 + ... + 5385895.

Almost surely, 2287199528100 is an apocalyptic number.

287199528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

287199528100 is the 535910-th square number.

It is an amenable number.

287199528100 is an abundant number, since it is smaller than the sum of its proper divisors (336035077341).

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

287199528100 is an frugal number, since it uses more digits than its factorization.

287199528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107196 (or 53598 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 52.

The spelling of 287199528100 in words is "two hundred eighty-seven billion, one hundred ninety-nine million, five hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 53591 107182 214364 267955 535910 1071820 1339775 2679550 5359100 2871995281 5743990562 11487981124 14359976405 28719952810 57439905620 71799882025 143599764050 287199528100