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11012111220201 = 37133771103149077
BaseRepresentation
bin1010000000111111010011…
…1110100011110111101001
31102222202011222001102002120
42200033310332203313221
52420410300433021301
635230521041021453
72214412244643240
oct240176476436751
942882158042076
1011012111220201
113566234775a03
12129a279924889
1361b58c62a440
142a0dbbc65957
151416b4a98e36
hexa03f4fa3de9

11012111220201 has 128 divisors (see below), whose sum is σ = 19003824193536. Its totient is φ = 5517863285760.

The previous prime is 11012111220163. The next prime is 11012111220221. The reversal of 11012111220201 is 10202211121011.

It is a happy number.

It is not a de Polignac number, because 11012111220201 - 213 = 11012111212009 is a prime.

It is a super-2 number, since 2×110121112202012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11012111220221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73794075 + ... + 73943151.

It is an arithmetic number, because the mean of its divisors is an integer number (148467376512).

Almost surely, 211012111220201 is an apocalyptic number.

It is an amenable number.

11012111220201 is a deficient number, since it is larger than the sum of its proper divisors (7991712973335).

11012111220201 is a wasteful number, since it uses less digits than its factorization.

11012111220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149311.

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

Adding to 11012111220201 its reverse (10202211121011), we get a palindrome (21214322341212).

The spelling of 11012111220201 in words is "eleven trillion, twelve billion, one hundred eleven million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 71 91 103 111 213 259 273 309 481 497 721 777 923 1339 1443 1491 2163 2627 2769 3367 3811 4017 6461 7313 7881 9373 10101 11433 18389 19383 21939 26677 28119 34151 49543 51191 55167 80031 95069 102453 148629 149077 153573 239057 270581 285207 346801 447231 665483 717171 811743 1040403 1043539 1894067 1938001 1996449 3130617 3517553 5515849 5682201 5814003 10552659 10584467 13566007 15354931 16547547 24622871 31753401 38610943 40698021 46064793 71706037 73868613 74091269 107484517 115832829 137598071 199614103 215118111 222273807 322453551 391625279 412794213 501942259 568132447 598842309 963186497 1090200101 1174875837 1397298721 1505826777 1704397341 2741376953 2889559491 3270600303 3976927129 4191896163 5091128627 7385721811 7631400707 8224130859 11930781387 14172601313 15273385881 22157165433 22894202121 35637900389 40337403737 42517803939 51700052677 99208209191 106913701167 121012211211 155100158031 282361826159 297624627573 524386248581 847085478477 1573158745743 3670703740067 11012111220201