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287244101 = 29101281349
BaseRepresentation
bin10001000111101…
…111111101000101
3202000111111211102
4101013233331011
51042013302401
644300345445
710055351234
oct2107577505
9660444742
10287244101
11138161821
1280245285
1347682a31
142a212b1b
151a33e56b
hex111eff45

287244101 has 16 divisors (see below), whose sum is σ = 302022000. Its totient is φ = 272832000.

The previous prime is 287244077. The next prime is 287244107. The reversal of 287244101 is 101442782.

It can be written as a sum of positive squares in 8 ways, for example, as 70123876 + 217120225 = 8374^2 + 14735^2 .

It is a de Polignac number, because none of the positive numbers 2k-287244101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287244107) 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 15 ways as a sum of consecutive naturals, for example, 822875 + ... + 823223.

It is an arithmetic number, because the mean of its divisors is an integer number (18876375).

Almost surely, 2287244101 is an apocalyptic number.

287244101 is the 7580-th centered decagonal number.

It is an amenable number.

287244101 is a deficient number, since it is larger than the sum of its proper divisors (14777899).

287244101 is a wasteful number, since it uses less digits than its factorization.

287244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760.

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 287244101 is about 16948.2772280843. The cubic root of 287244101 is about 659.8071834973.

Adding to 287244101 its reverse (101442782), we get a palindrome (388686883).

The spelling of 287244101 in words is "two hundred eighty-seven million, two hundred forty-four thousand, one hundred one".

Divisors: 1 29 101 281 349 2929 8149 10121 28381 35249 98069 823049 1022221 2844001 9904969 287244101