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201011101221210 = 235729111612957329
BaseRepresentation
bin101101101101000110001011…
…010010001100000101011010
3222100201110210020221221200120
4231231012023102030011122
5202321331213403034320
61551303120341414110
760224400322016130
oct5555061322140532
9870643706857616
10201011101221210
1159059369322025
121a66536b10a336
13882135b432667
14378cdbc569750
151838b601db440
hexb6d18b48c15a

201011101221210 has 128 divisors (see below), whose sum is σ = 570407917708800. Its totient is φ = 44357080965120.

The previous prime is 201011101221187. The next prime is 201011101221211. The reversal of 201011101221210 is 12122101110102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201011101221210.

It is not an unprimeable number, because it can be changed into a prime (201011101221211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66491826 + ... + 69449154.

It is an arithmetic number, because the mean of its divisors is an integer number (4456311857100).

Almost surely, 2201011101221210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011101221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285203958854400).

201011101221210 is an abundant number, since it is smaller than the sum of its proper divisors (369396816487590).

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

201011101221210 is a wasteful number, since it uses less digits than its factorization.

201011101221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968536.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201011101221210 its reverse (12122101110102), we get a palindrome (213133202331312).

The spelling of 201011101221210 in words is "two hundred one trillion, eleven billion, one hundred one million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 11161 22322 33483 55805 66966 78127 111610 156254 167415 234381 323669 334830 390635 468762 647338 781270 971007 1171905 1618345 1942014 2265683 2343810 2957329 3236690 4531366 4855035 5914658 6797049 8871987 9710070 11328415 13594098 14786645 17743974 20701303 22656830 29573290 33985245 41402606 44359935 62103909 67970490 85762541 88719870 103506515 124207818 171525082 207013030 257287623 310519545 428812705 514575246 600337787 621039090 857625410 1200675574 1286438115 1801013361 2572876230 3001688935 3602026722 6003377870 9005066805 18010133610 33006748969 66013497938 99020246907 165033744845 198040493814 231047242783 330067489690 462094485566 495101234535 693141728349 957195720101 990202469070 1155236213915 1386283456698 1914391440202 2310472427830 2871587160303 3465708641745 4785978600505 5743174320606 6700370040707 6931417283490 9571957201010 13400740081414 14357935801515 20101110122121 28715871603030 33501850203535 40202220244242 67003700407070 100505550610605 201011101221210