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112011100022010 = 23571939317141429
BaseRepresentation
bin11001011101111110011101…
…110100111110010011111010
3112200121011020011001011201110
4121131332131310332103322
5104140142213101201020
61034121104452501150
732410351322614050
oct3135763564762372
9480534204034643
10112011100022010
1132765705925892
121069060291a7b6
134a667a83b0997
141d9351aa9a1d0
15ce39ebe3a8e0
hex65df9dd3e4fa

112011100022010 has 128 divisors (see below), whose sum is σ = 323482783795200. Its totient is φ = 24248861602560.

The previous prime is 112011100021967. The next prime is 112011100022039. The reversal of 112011100022010 is 10220001110211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12113976 + ... + 19255404.

It is an arithmetic number, because the mean of its divisors is an integer number (2527209248400).

Almost surely, 2112011100022010 is an apocalyptic number.

112011100022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112011100022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161741391897600).

112011100022010 is an abundant number, since it is smaller than the sum of its proper divisors (211471683773190).

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

112011100022010 is a wasteful number, since it uses less digits than its factorization.

112011100022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145396.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112011100022010 its reverse (10220001110211), we get a palindrome (122231101132221).

The spelling of 112011100022010 in words is "one hundred twelve trillion, eleven billion, one hundred million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3931 3990 7862 11793 19655 23586 27517 39310 55034 58965 74689 82551 117930 137585 149378 165102 224067 275170 373445 412755 448134 522823 746890 825510 1045646 1120335 1568469 2240670 2614115 3136938 5228230 7141429 7842345 14282858 15684690 21424287 35707145 42848574 49990003 71414290 99980006 107121435 135687151 149970009 214242870 249950015 271374302 299940018 407061453 499900030 678435755 749850045 814122906 949810057 1356871510 1499700090 1899620114 2035307265 2849430171 4070614530 4749050285 5698860342 9498100570 14247150855 28072957399 28494301710 56145914798 84218872197 140364786995 168437744394 196510701793 280729573990 393021403586 421094360985 533386190581 589532105379 842188721970 982553508965 1066772381162 1179064210758 1600158571743 1965107017930 2666930952905 2947660526895 3200317143486 3733703334067 5333861905810 5895321053790 7467406668134 8000792858715 11201110002201 16001585717430 18668516670335 22402220004402 37337033340670 56005550011005 112011100022010