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110421313401042 = 23272259348281617
BaseRepresentation
bin11001000110110101110111…
…001010010011000011010010
3112110222011201012001002212200
4121012311313022103003102
5103433120322212313132
61030502503500104030
732154451040401200
oct3106656712230322
9473864635032780
10110421313401042
1132202463812216
1210474482535016
13497c8ba434cb7
141d3a5c49d8070
15cb74a2312d7c
hex646d772930d2

110421313401042 has 72 divisors (see below), whose sum is σ = 278414115495516. Its totient is φ = 31536779065344.

The previous prime is 110421313401037. The next prime is 110421313401089. The reversal of 110421313401042 is 240104313124011.

It is a happy number.

110421313401042 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 213 + 1 + 3 + 401 + 0 + 42 = 666.

110421313401042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110386311107121 + 35002293921 = 10506489^2 + 187089^2 .

It is a super-2 number, since 2×1104213134010422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110421313400997 and 110421313401015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21853783 + ... + 26427834.

Almost surely, 2110421313401042 is an apocalyptic number.

110421313401042 is an abundant number, since it is smaller than the sum of its proper divisors (167992802094474).

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

110421313401042 is a wasteful number, since it uses less digits than its factorization.

110421313401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48284232 (or 48284222 counting only the distinct ones).

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

Adding to 110421313401042 its reverse (240104313124011), we get a palindrome (350525626525053).

The spelling of 110421313401042 in words is "one hundred ten trillion, four hundred twenty-one billion, three hundred thirteen million, four hundred one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 2593 5186 7779 15558 18151 23337 36302 46674 54453 108906 127057 163359 254114 326718 381171 762342 1143513 2287026 48281617 96563234 144844851 289689702 337971319 434534553 675942638 869069106 1013913957 2027827914 2365799233 3041741871 4731598466 6083483742 7097397699 14194795398 21292193097 42584386194 125194232881 250388465762 375582698643 751165397286 876359630167 1126748095929 1752719260334 2253496191858 2629078890501 5258157781002 6134517411169 7887236671503 12269034822338 15774473343006 18403552233507 36807104467014 55210656700521 110421313401042