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112214313432221 = 7311213228795557
BaseRepresentation
bin11001100000111011101110…
…010010100111010010011101
3112201022120202102221000022212
4121200323232102213102131
5104202004403214312341
61034354313253250205
732431134203243000
oct3140735622472235
9481276672830285
10112214313432221
1132833906569700
1210703a76633965
134a7c9c2385500
141d9d2b7857537
15ce8e4255b5eb
hex660eee4a749d

112214313432221 has 144 divisors (see below), whose sum is σ = 155838138624000. Its totient is φ = 80671037166720.

The previous prime is 112214313432163. The next prime is 112214313432223. The reversal of 112214313432221 is 122234313412211.

It is not a de Polignac number, because 112214313432221 - 222 = 112214309237917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112214313432223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20193323375 + ... + 20193328931.

It is an arithmetic number, because the mean of its divisors is an integer number (1082209296000).

Almost surely, 2112214313432221 is an apocalyptic number.

112214313432221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112214313432221 is a deficient number, since it is larger than the sum of its proper divisors (43623825191779).

112214313432221 is a wasteful number, since it uses less digits than its factorization.

112214313432221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8467 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

Adding to 112214313432221 its reverse (122234313412211), we get a palindrome (234448626844432).

The spelling of 112214313432221 in words is "one hundred twelve trillion, two hundred fourteen billion, three hundred thirteen million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1573 1859 2879 3773 4459 5557 5929 7007 8281 11011 13013 20153 20449 31669 37427 38899 41503 49049 57967 61127 72241 77077 91091 141071 143143 221683 261989 272293 348359 411697 427889 486551 505687 539539 637637 672397 794651 939133 987497 1002001 1551781 1833923 1906051 2438513 2881879 2995223 3405857 3539809 4528667 4706779 5352061 5562557 6573931 7014007 8741161 10330463 10862467 12837461 15998603 17069591 20173153 20966561 23840999 24778663 31700669 32947453 37464427 38937899 46017517 58872671 61188127 72313241 111990221 113635093 119487137 141212071 166886993 175984633 207981839 221904683 230632171 262250989 272565293 322122619 412108697 428316889 506192687 783931547 795445651 1231892431 1455872873 1553332781 1835756923 1935830963 2287800229 2703763907 2884760879 2998218223 3543348809 5487520829 5568119557 8623247017 10191110111 13550816741 16014601603 18926347349 20193326153 25165802519 29741402977 38976836899 60362729119 71337770777 94855717187 112102211221 132484431443 176160617633 208189820839 327155432747 663990020309 784715478547 927391020101 1233124323431 1457328745873 2290088029229 8631870264017 10201301221111 16030616204603 112214313432221