Search a number
-
+
283813101 = 3211131032141
BaseRepresentation
bin10000111010101…
…010010011101101
3201210001012101100
4100322222103231
51040124004401
644055033313
710014241305
oct2072522355
9653035340
10283813101
11136228a90
127b06b839
1346a51160
142999c605
1519db2b86
hex10eaa4ed

283813101 has 48 divisors (see below), whose sum is σ = 486525312. Its totient is φ = 157161600.

The previous prime is 283813087. The next prime is 283813121. The reversal of 283813101 is 101318382.

It is not a de Polignac number, because 283813101 - 213 = 283804909 is a prime.

It is a super-3 number, since 3×2838131013 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283813121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131491 + ... + 133631.

It is an arithmetic number, because the mean of its divisors is an integer number (10135944).

Almost surely, 2283813101 is an apocalyptic number.

It is an amenable number.

283813101 is a deficient number, since it is larger than the sum of its proper divisors (202712211).

283813101 is a wasteful number, since it uses less digits than its factorization.

283813101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 283813101 is about 16846.7534261056. The cubic root of 283813101 is about 657.1696218350.

The spelling of 283813101 in words is "two hundred eighty-three million, eight hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 99 103 117 143 309 429 927 1133 1287 1339 2141 3399 4017 6423 10197 12051 14729 19269 23551 27833 44187 70653 83499 132561 211959 220523 250497 306163 661569 918489 1984707 2425753 2755467 2866799 7277259 8600397 21831777 25801191 31534789 94604367 283813101