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282993101 = 17163710169
BaseRepresentation
bin10000110111100…
…010000111001101
3201201111112112222
4100313202013031
51034421234401
644025305125
710004254526
oct2067420715
9651445488
10282993101
111358189a6
127a9351a5
1346824b51
142982784d
1519c9ec1b
hex10de21cd

282993101 has 8 divisors (see below), whose sum is σ = 299852280. Its totient is φ = 266157568.

The previous prime is 282993083. The next prime is 282993119. The reversal of 282993101 is 101399282.

It is an interprime number because it is at equal distance from previous prime (282993083) and next prime (282993119).

It can be written as a sum of positive squares in 4 ways, for example, as 64722025 + 218271076 = 8045^2 + 14774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 282993101 - 26 = 282993037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282993001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22745 + ... + 32913.

It is an arithmetic number, because the mean of its divisors is an integer number (37481535).

Almost surely, 2282993101 is an apocalyptic number.

It is an amenable number.

282993101 is a deficient number, since it is larger than the sum of its proper divisors (16859179).

282993101 is a wasteful number, since it uses less digits than its factorization.

282993101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 282993101 is about 16822.3987885200. The cubic root of 282993101 is about 656.5361076154.

The spelling of 282993101 in words is "two hundred eighty-two million, nine hundred ninety-three thousand, one hundred one".

Divisors: 1 17 1637 10169 27829 172873 16646653 282993101