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201000211011200 = 2752111756233273
BaseRepresentation
bin101101101100111100000010…
…001011010101011010000000
3222100200102200022002222000002
4231230330002023111122000
5202321141413004324300
61551254115554415132
760223533414531536
oct5554740213253200
9870612608088002
10201000211011200
1159054790062067
121a66322bb914a8
138820314198903
14378c6680b8156
1518387240d75d5
hexb6cf022d5680

201000211011200 has 96 divisors (see below), whose sum is σ = 496977866624460. Its totient is φ = 80328104386560.

The previous prime is 201000211011199. The next prime is 201000211011217. The reversal of 201000211011200 is 2110112000102.

It can be written as a sum of positive squares in 6 ways, for example, as 11521016896 + 200988689994304 = 107336^2 + 14177048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24542237 + ... + 31691036.

Almost surely, 2201000211011200 is an apocalyptic number.

201000211011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000211011200 is an abundant number, since it is smaller than the sum of its proper divisors (295977655613260).

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

201000211011200 is a wasteful number, since it uses less digits than its factorization.

201000211011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56234414 (or 56234397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201000211011200 its reverse (2110112000102), we get a palindrome (203110323011302).

The spelling of 201000211011200 in words is "two hundred one trillion, two hundred eleven million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1117 1600 2234 3200 4468 5585 8936 11170 17872 22340 27925 35744 44680 55850 71488 89360 111700 142976 178720 223400 357440 446800 714880 893600 1787200 3574400 56233273 112466546 224933092 281166365 449866184 562332730 899732368 1124665460 1405831825 1799464736 2249330920 2811663650 3598929472 4498661840 5623327300 7197858944 8997323680 11246654600 17994647360 22493309200 35989294720 44986618400 62812565941 89973236800 125625131882 179946473600 251250263764 314062829705 502500527528 628125659410 1005001055056 1256251318820 1570314148525 2010002110112 2512502637640 3140628297050 4020004220224 5025005275280 6281256594100 8040008440448 10050010550560 12562513188200 20100021101120 25125026376400 40200042202240 50250052752800 100500105505600 201000211011200