Search a number
-
+
110000011200012 = 22323782582590991
BaseRepresentation
bin11001000000101101011111…
…100101111100011000001100
3112102110220020220121210122100
4121000231133211330120030
5103404220010331400022
61025541150231515100
732112144551644623
oct3100553745743014
9472426226553570
10110000011200012
113205a81969a9aa
12104068a5228a90
13494bc586c329b
141d240596186ba
15cab5456c61ac
hex640b5f97c60c

110000011200012 has 36 divisors (see below), whose sum is σ = 285570599650336. Its totient is φ = 35675679307680.

The previous prime is 110000011199983. The next prime is 110000011200059. The reversal of 110000011200012 is 210002110000011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000011199967 and 110000011200003.

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 11 ways as a sum of consecutive naturals, for example, 41291294164 + ... + 41291296827.

Almost surely, 2110000011200012 is an apocalyptic number.

110000011200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110000011200012 is an abundant number, since it is smaller than the sum of its proper divisors (175570588450324).

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

110000011200012 is a wasteful number, since it uses less digits than its factorization.

110000011200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82582591038 (or 82582591033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110000011200012 its reverse (210002110000011), we get a palindrome (320002121200023).

The spelling of 110000011200012 in words is "one hundred ten trillion, eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 82582590991 165165181982 247747772973 330330363964 495495545946 743243318919 990991091892 1486486637838 2972973275676 3055555866667 6111111733334 9166667600001 12222223466668 18333335200002 27500002800003 36666670400004 55000005600006 110000011200012