Search a number
-
+
201132534200 = 235213151151197
BaseRepresentation
bin1011101101010001101…
…1101110100110111000
3201020011021100101100112
42323110123232212320
511243404412043300
6232222104123452
720350152221663
oct2732433564670
9636137311315
10201132534200
1178333087984
1232b92a66588
1315c74b51460
149a4068c6da
155372ad4e35
hex2ed46ee9b8

201132534200 has 96 divisors (see below), whose sum is σ = 503948057760. Its totient is φ = 74213721600.

The previous prime is 201132534157. The next prime is 201132534263. The reversal of 201132534200 is 2435231102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3903002 + ... + 3954198.

It is an arithmetic number, because the mean of its divisors is an integer number (5249458935).

Almost surely, 2201132534200 is an apocalyptic number.

201132534200 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 201132534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251974028880).

201132534200 is an abundant number, since it is smaller than the sum of its proper divisors (302815523560).

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

201132534200 is a wasteful number, since it uses less digits than its factorization.

201132534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52737 (or 52728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 201132534200 its reverse (2435231102), we get a palindrome (203567765302).

The spelling of 201132534200 in words is "two hundred one billion, one hundred thirty-two million, five hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1511 2600 3022 6044 7555 12088 15110 19643 30220 37775 39286 51197 60440 75550 78572 98215 102394 151100 157144 196430 204788 255985 302200 392860 409576 491075 511970 665561 785720 982150 1023940 1279925 1331122 1964300 2047880 2559850 2662244 3327805 3928600 5119700 5324488 6655610 10239400 13311220 16639025 26622440 33278050 66556100 77358667 133112200 154717334 309434668 386793335 618869336 773586670 1005662671 1547173340 1933966675 2011325342 3094346680 3867933350 4022650684 5028313355 7735866700 8045301368 10056626710 15471733400 20113253420 25141566775 40226506840 50283133550 100566267100 201132534200