Search a number
-
+
112012431403122 = 233163241283186587
BaseRepresentation
bin11001011101111111101101…
…001011110010100001110010
3112200121021122221021100021000
4121131333231023302201302
5104140202424414344442
61034121444532542430
732410426320304455
oct3135775513624162
9480537587240230
10112012431403122
1132766229407158
1210690914781a16
134a6695b185463
141d9360582949c
15ce3a78c78d4c
hex65dfed2f2872

112012431403122 has 128 divisors (see below), whose sum is σ = 252372778859520. Its totient is φ = 36823657639680.

The previous prime is 112012431403111. The next prime is 112012431403123. The reversal of 112012431403122 is 221304134210211.

112012431403122 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 243 + 1 + 403 + 12 + 2 = 666.

112012431403122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1120124314031222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112012431403123) 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, 600229513 + ... + 600416099.

It is an arithmetic number, because the mean of its divisors is an integer number (1971662334840).

Almost surely, 2112012431403122 is an apocalyptic number.

112012431403122 is an abundant number, since it is smaller than the sum of its proper divisors (140360347456398).

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

112012431403122 is a wasteful number, since it uses less digits than its factorization.

112012431403122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187285 (or 187279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 112012431403122 its reverse (221304134210211), we get a palindrome (333316565613333).

It can be divided in two parts, 112012 and 431403122, that added together give a palindrome (431515134).

The spelling of 112012431403122 in words is "one hundred twelve trillion, twelve billion, four hundred thirty-one million, four hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 163 241 283 326 482 489 566 723 849 978 1446 1467 1698 2169 2547 2934 4338 4401 5094 6507 7641 8802 13014 15282 39283 46129 68203 78566 92258 117849 136406 138387 186587 204609 235698 276774 353547 373174 409218 415161 559761 613827 707094 830322 1060641 1119522 1227654 1245483 1679283 1841481 2121282 2490966 3358566 3682962 5037849 10075698 11117089 22234178 30413681 33351267 44967467 52804121 60827362 66702534 89934934 91241043 100053801 105608242 134902401 158412363 182482086 200107602 269804802 273723129 300161403 316824726 404707203 475237089 547446258 600322806 809414406 821169387 950474178 1214121609 1425711267 1642338774 2428243218 2851422534 7329697121 8607071723 12725793161 14659394242 17214143446 21989091363 25451586322 25821215169 38177379483 43978182726 51642430338 65967274089 76354758966 77463645507 114532138449 131934548178 154927291014 197901822267 229064276898 232390936521 343596415347 395803644534 464781873042 687192830694 2074304285243 4148608570486 6222912855729 12445825711458 18668738567187 37337477134374 56006215701561 112012431403122