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110220112101012 = 223378812381118343
BaseRepresentation
bin11001000011111010011110…
…101000001111111010010100
3112110020221101010022001112120
4121003322132220033322110
5103421321242144213022
61030230230454015540
732134066061512554
oct3103723650177224
9473227333261476
10110220112101012
11321350a5937581
12104414906475b0
134966934287a04
141d30979169164
15cb2128697d5c
hex643e9ea0fe94

110220112101012 has 96 divisors (see below), whose sum is σ = 264544181846784. Its totient is φ = 35691189811200.

The previous prime is 110220112101007. The next prime is 110220112101097. The reversal of 110220112101012 is 210101211022011.

It is a happy number.

It is a super-2 number, since 2×1102201121010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110220112100982 and 110220112101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931302313 + ... + 931420655.

It is an arithmetic number, because the mean of its divisors is an integer number (2755668560904).

Almost surely, 2110220112101012 is an apocalyptic number.

110220112101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110220112101012 is an abundant number, since it is smaller than the sum of its proper divisors (154324069745772).

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

110220112101012 is a wasteful number, since it uses less digits than its factorization.

110220112101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121649 (or 121647 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110220112101012 its reverse (210101211022011), we get a palindrome (320321323123023).

It can be divided in two parts, 11022011 and 2101012, that multiplied together give a palindrome (23157377375132).

The spelling of 110220112101012 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 881 1762 2381 2643 3524 4762 5286 7143 9524 10572 14286 28572 32597 65194 88097 97791 118343 130388 176194 195582 236686 264291 352388 355029 391164 473372 528582 710058 1057164 1420116 2097661 4195322 4378691 6292983 8390644 8757382 12585966 13136073 17514764 25171932 26272146 52544292 77613457 104260183 155226914 208520366 232840371 281774683 310453828 312780549 417040732 465680742 563549366 625561098 845324049 931361484 1127098732 1251122196 1690648098 3381296196 3857626771 7715253542 10425663271 11572880313 15430507084 20851326542 23145760626 31276989813 41702653084 46291521252 62553979626 125107959252 248243495723 496486991446 744730487169 992973982892 1489460974338 2978921948676 9185009341751 18370018683502 27555028025253 36740037367004 55110056050506 110220112101012