Search a number
-
+
201321144 = 23323775571
BaseRepresentation
bin10111111111111…
…10101010111000
3112000211011200200
423333332222320
5403014234034
631551002200
74663126053
oct1377765270
9460734620
10201321144
11a3705612
1257509360
133292a74b
141ca47a9a
1512a1aa99
hexbffeab8

201321144 has 48 divisors (see below), whose sum is σ = 559988520. Its totient is φ = 65292480.

The previous prime is 201321101. The next prime is 201321149. The reversal of 201321144 is 441123102.

201321144 is a `hidden beast` number, since 201 + 321 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35122 + ... + 40449.

Almost surely, 2201321144 is an apocalyptic number.

201321144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201321144 is an abundant number, since it is smaller than the sum of its proper divisors (358667376).

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

201321144 is a wasteful number, since it uses less digits than its factorization.

201321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75620 (or 75613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201321144 is about 14188.7682340646. The cubic root of 201321144 is about 586.0884054751.

Adding to 201321144 its reverse (441123102), we get a palindrome (642444246).

The spelling of 201321144 in words is "two hundred one million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 75571 151142 226713 302284 453426 604568 680139 906852 1360278 1813704 2720556 2796127 5441112 5592254 8388381 11184508 16776762 22369016 25165143 33553524 50330286 67107048 100660572 201321144