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110012110020 = 223251514047539
BaseRepresentation
bin110011001110100111…
…0111001010011000100
3101111221221012020012100
41212131032321103010
53300301100010040
6122312221152100
710643126335431
oct1463516712304
9344857166170
10110012110020
1142723a7159a
12193a29bb630
13a4b2b79cb7
145478a56b88
152cdd1dab30
hex199d3b94c4

110012110020 has 72 divisors (see below), whose sum is σ = 335913439680. Its totient is φ = 29142273600.

The previous prime is 110012110003. The next prime is 110012110133. The reversal of 110012110020 is 20011210011.

It is a happy number.

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 = 110012109984 and 110012110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996590 + ... + 2050949.

It is an arithmetic number, because the mean of its divisors is an integer number (4665464440).

Almost surely, 2110012110020 is an apocalyptic number.

110012110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012110020 is an abundant number, since it is smaller than the sum of its proper divisors (225901329660).

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

110012110020 is a wasteful number, since it uses less digits than its factorization.

110012110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047705 (or 4047700 counting only the distinct ones).

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

Adding to 110012110020 its reverse (20011210011), we get a palindrome (130023320031).

Subtracting from 110012110020 its reverse (20011210011), we obtain a palindrome (90000900009).

The spelling of 110012110020 in words is "one hundred ten billion, twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 27180 4047539 8095078 12142617 16190156 20237695 24285234 36427851 40475390 48570468 60713085 72855702 80950780 121426170 145711404 182139255 242852340 364278510 611178389 728557020 1222356778 1833535167 2444713556 3055891945 3667070334 5500605501 6111783890 7334140668 9167675835 11001211002 12223567780 18335351670 22002422004 27503027505 36670703340 55006055010 110012110020