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101000211110212 = 2217199729378867
BaseRepresentation
bin10110111101101111110001…
…101101001001100101000100
3111020121112012100222110112111
4112331233301231021211010
5101214241413021011322
6554450504554030404
730163011246251041
oct2675576155114504
9436545170873474
10101000211110212
112a1aaa49113317
12b3b2626418404
134448382088a6b
141ad26172d01c8
15ba23a9837177
hex5bdbf1b49944

101000211110212 has 144 divisors (see below), whose sum is σ = 199284057725760. Its totient is φ = 44511171674112.

The previous prime is 101000211110209. The next prime is 101000211110219. The reversal of 101000211110212 is 212011112000101.

It is a happy number.

It is a super-2 number, since 2×1010002111102122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000211110192 and 101000211110201.

It is not an unprimeable number, because it can be changed into a prime (101000211110219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11390568603 + ... + 11390577469.

It is an arithmetic number, because the mean of its divisors is an integer number (1383917067540).

Almost surely, 2101000211110212 is an apocalyptic number.

It is an amenable number.

101000211110212 is a deficient number, since it is larger than the sum of its proper divisors (98283846615548).

101000211110212 is a wasteful number, since it uses less digits than its factorization.

101000211110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101000211110212 its reverse (212011112000101), we get a palindrome (313011323110313).

The spelling of 101000211110212 in words is "one hundred one trillion, two hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 17 19 34 38 68 76 97 194 323 388 646 937 1292 1649 1843 1874 3298 3686 3748 6596 7372 8867 9409 15929 17734 17803 18818 31331 31858 35468 35606 37636 62662 63716 71212 90889 125324 150739 159953 168473 178771 181778 301478 302651 319906 336946 357542 363556 602956 605302 639812 673892 715084 860099 1210604 1545113 1720198 1726891 2864041 3039107 3090226 3440396 3453782 5728082 6078214 6180452 6907564 8308379 8816233 11456164 12156428 14621683 16341881 16616758 17632466 29243366 29357147 32683762 33233516 35264932 58486732 58714294 65367524 83429603 117428588 141242443 149875961 157859201 166859206 167508427 277811977 282484886 299751922 315718402 333718412 335016854 555623954 564969772 599503844 631436804 670033708 805912763 1111247908 1418303251 1585162457 1611825526 2683606417 2836606502 2847643259 3170324914 3223651052 5367212834 5673213004 5695286518 6340649828 10734425668 11390573036 13700516971 15312342497 26947761769 27401033942 30624684994 53895523538 54802067884 61249369988 78173538011 107791047076 156347076022 260309822449 312694152044 520619644898 1041239289796 1328950146187 1485297222209 2657900292374 2970594444418 5315800584748 5941188888836 25250052777553 50500105555106 101000211110212