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201231300 = 223525911369
BaseRepresentation
bin10111111111010…
…00101111000100
3112000122121110010
423333220233010
5403003400200
631545030220
74662303114
oct1377505704
9460577403
10201231300
11a3654066
1257485370
13328c889a
141ca23044
15129ee150
hexbfe8bc4

201231300 has 72 divisors (see below), whose sum is σ = 592149600. Its totient is φ = 52747520.

The previous prime is 201231269. The next prime is 201231307. The reversal of 201231300 is 3132102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201231307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12016 + ... + 23384.

It is an arithmetic number, because the mean of its divisors is an integer number (8224300).

Almost surely, 2201231300 is an apocalyptic number.

201231300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296074800).

201231300 is an abundant number, since it is smaller than the sum of its proper divisors (390918300).

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

201231300 is a wasteful number, since it uses less digits than its factorization.

201231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201231300 is about 14185.6018554025. The cubic root of 201231300 is about 586.0012075441.

Adding to 201231300 its reverse (3132102), we get a palindrome (204363402).

The spelling of 201231300 in words is "two hundred one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 11369 17700 22738 34107 45476 56845 68214 113690 136428 170535 227380 284225 341070 568450 670771 682140 852675 1136900 1341542 1705350 2012313 2683084 3353855 3410700 4024626 6707710 8049252 10061565 13415420 16769275 20123130 33538550 40246260 50307825 67077100 100615650 201231300