Search a number
-
+
111100011100120 = 23572139731854373
BaseRepresentation
bin11001010000101101111100…
…101100100011011111011000
3112120101001112210111111100101
4121100231330230203133120
5104030230310320200440
61032142350203145144
732254465562555140
oct3120557454433730
9476331483444311
10111100011100120
1132444282992939
1210563b14b151b4
1349cb8bc464c43
141d613aaa97920
15cc9e7615769a
hex650b7cb237d8

111100011100120 has 64 divisors (see below), whose sum is σ = 285687232038720. Its totient is φ = 38091233816064.

The previous prime is 111100011100103. The next prime is 111100011100123. The reversal of 111100011100120 is 21001110001111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111100011100097 and 111100011100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100011100123) 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, 58985254 + ... + 60839626.

It is an arithmetic number, because the mean of its divisors is an integer number (4463863000605).

Almost surely, 2111100011100120 is an apocalyptic number.

111100011100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100011100120 is an abundant number, since it is smaller than the sum of its proper divisors (174587220938600).

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

111100011100120 is a wasteful number, since it uses less digits than its factorization.

111100011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068364 (or 2068360 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111100011100120 its reverse (21001110001111), we get a palindrome (132101121101231).

The spelling of 111100011100120 in words is "one hundred eleven trillion, one hundred billion, eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 213973 427946 855892 1069865 1497811 1711784 1854373 2139730 2995622 3708746 4279460 5991244 7417492 7489055 8558920 9271865 11982488 12980611 14834984 14978110 18543730 25961222 29956220 37087460 51922444 59912440 64903055 74174920 103844888 129806110 259612220 519224440 396785753929 793571507858 1587143015716 1983928769645 2777500277503 3174286031432 3967857539290 5555000555006 7935715078580 11110001110012 13887501387515 15871430157160 22220002220024 27775002775030 55550005550060 111100011100120