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201131201232 = 2432131011063781
BaseRepresentation
bin1011101101010001011…
…0101001001011010000
3201020011011211122212100
42323110112221023100
511243404041414412
6232222015400400
720350135000533
oct2732426511320
9636134748770
10201131201232
1178332357455
1232b92523100
1315c747a5810
149a40422a1a
15537291eedc
hex2ed45a92d0

201131201232 has 120 divisors (see below), whose sum is σ = 612189520488. Its totient is φ = 61273728000.

The previous prime is 201131201221. The next prime is 201131201233. The reversal of 201131201232 is 232102131102.

201131201232 is a `hidden beast` number, since 201 + 1 + 31 + 201 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79341368976 + 121789832256 = 281676^2 + 348984^2 .

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 (201131201233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342819 + ... + 720962.

Almost surely, 2201131201232 is an apocalyptic number.

It is an amenable number.

201131201232 is an abundant number, since it is smaller than the sum of its proper divisors (411058319256).

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

201131201232 is a wasteful number, since it uses less digits than its factorization.

201131201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063909 (or 1063900 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201131201232 its reverse (232102131102), we get a palindrome (433233332334).

The spelling of 201131201232 in words is "two hundred one billion, one hundred thirty-one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 101 104 117 144 156 202 208 234 303 312 404 468 606 624 808 909 936 1212 1313 1616 1818 1872 2424 2626 3636 3939 4848 5252 7272 7878 10504 11817 14544 15756 21008 23634 31512 47268 63024 94536 189072 1063781 2127562 3191343 4255124 6382686 8510248 9574029 12765372 13829153 17020496 19148058 25530744 27658306 38296116 41487459 51061488 55316612 76592232 82974918 107441881 110633224 124462377 153184464 165949836 214883762 221266448 248924754 322325643 331899672 429767524 497849508 644651286 663799344 859535048 966976929 995699016 1289302572 1396744453 1719070096 1933953858 1991398032 2578605144 2793488906 3867907716 4190233359 5157210288 5586977812 7735815432 8380466718 11173955624 12570700077 15471630864 16760933436 22347911248 25141400154 33521866872 50282800308 67043733744 100565600616 201131201232