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112211100102012 = 22367883158058941
BaseRepresentation
bin11001100000111000101110…
…110000101110110101111100
3112201022021110111110220221220
4121200320232300232311330
5104201431313111231022
61034353022344353340
732430661444343232
oct3140705660566574
9481267414426856
10112211100102012
11328325077410aa
121070331a475850
134a7c5cc72a3a2
141d9d090b9c952
15ce8d053c885c
hex660e2ec2ed7c

112211100102012 has 48 divisors (see below), whose sum is σ = 266034695402112. Its totient is φ = 36803708061120.

The previous prime is 112211100102001. The next prime is 112211100102019. The reversal of 112211100102012 is 210201001112211.

It is a happy number.

It is a super-3 number, since 3×1122111001020123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112211100101982 and 112211100102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211100102019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78319539 + ... + 79739402.

It is an arithmetic number, because the mean of its divisors is an integer number (5542389487544).

Almost surely, 2112211100102012 is an apocalyptic number.

112211100102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112211100102012 is an abundant number, since it is smaller than the sum of its proper divisors (153823595300100).

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

112211100102012 is a wasteful number, since it uses less digits than its factorization.

112211100102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158059898 (or 158059896 counting only the distinct ones).

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

Adding to 112211100102012 its reverse (210201001112211), we get a palindrome (322412101214223).

The spelling of 112211100102012 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 883 1766 2649 3532 5298 10596 59161 118322 177483 236644 354966 709932 158058941 316117882 474176823 632235764 948353646 1896707292 10589949047 21179898094 31769847141 42359796188 63539694282 127079388564 139566044903 279132089806 418698134709 558264179612 837396269418 1674792538836 9350925008501 18701850017002 28052775025503 37403700034004 56105550051006 112211100102012