Search a number
-
+
201331104 = 25313161323
BaseRepresentation
bin11000000000000…
…01000110100000
3112000211200100120
430000001012200
5403020043404
631551120240
74663200102
oct1400010640
9460750316
10201331104
11a3712047
1257513080
1332932140
141ca4b572
1512a1d9d9
hexc0011a0

201331104 has 48 divisors (see below), whose sum is σ = 569151072. Its totient is φ = 61947648.

The previous prime is 201331103. The next prime is 201331111. The reversal of 201331104 is 401133102.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (201331103) 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, 79414 + ... + 81909.

It is an arithmetic number, because the mean of its divisors is an integer number (11857314).

Almost surely, 2201331104 is an apocalyptic number.

201331104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201331104 is an abundant number, since it is smaller than the sum of its proper divisors (367819968).

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

201331104 is a wasteful number, since it uses less digits than its factorization.

201331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161349 (or 161341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 201331104 is about 14189.1192115649. The cubic root of 201331104 is about 586.0980705375.

Adding to 201331104 its reverse (401133102), we get a palindrome (602464206).

The spelling of 201331104 in words is "two hundred one million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 161323 322646 483969 645292 967938 1290584 1935876 2097199 2581168 3871752 4194398 5162336 6291597 7743504 8388796 12583194 15487008 16777592 25166388 33555184 50332776 67110368 100665552 201331104