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201100312 = 23723591429
BaseRepresentation
bin10111111110010…
…00110000011000
3112000101221202201
423333020300120
5402440202222
631542135544
74661216200
oct1377106030
9460357681
10201100312
11a3574706
12574215b4
133288108a
141c9cb400
15129c5427
hexbfc8c18

201100312 has 48 divisors (see below), whose sum is σ = 440154000. Its totient is φ = 85885632.

The previous prime is 201100279. The next prime is 201100321. The reversal of 201100312 is 213001102.

Adding to 201100312 its reverse (213001102), we get a palindrome (414101414).

It can be divided in two parts, 2011003 and 12, that added together give a triangular number (2011015 = T2005).

201100312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140014 + ... + 141442.

It is an arithmetic number, because the mean of its divisors is an integer number (9169875).

Almost surely, 2201100312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220077000).

201100312 is an abundant number, since it is smaller than the sum of its proper divisors (239053688).

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

201100312 is a wasteful number, since it uses less digits than its factorization.

201100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 201100312 is about 14180.9841689496. The cubic root of 201100312 is about 585.8740308620.

The spelling of 201100312 in words is "two hundred one million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 359 392 718 1429 1436 2513 2858 2872 5026 5716 10003 10052 11432 17591 20006 20104 35182 40012 70021 70364 80024 140042 140728 280084 513011 560168 1026022 2052044 3591077 4104088 7182154 14364308 25137539 28728616 50275078 100550156 201100312