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112003001123220 = 22335337615468739
BaseRepresentation
bin11001011101110110111011…
…000110001000000110010100
3112200120101022201112111012000
4121131312323012020012110
5104140024121241420340
61034113245101155300
732406643531246164
oct3135667306100624
9480511281474160
10112003001123220
113276222a2492a9
121068ab2255bb30
134a65ab752138c
141d92d8d20a5a4
15ce36c5e06d30
hex65ddbb188194

112003001123220 has 96 divisors (see below), whose sum is σ = 349487769321600. Its totient is φ = 29778839419392.

The previous prime is 112003001123191. The next prime is 112003001123239. The reversal of 112003001123220 is 22321100300211.

112003001123220 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 300 + 1 + 123 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112003001123193 and 112003001123202.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 307552390 + ... + 307916349.

It is an arithmetic number, because the mean of its divisors is an integer number (3640497597100).

Almost surely, 2112003001123220 is an apocalyptic number.

112003001123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112003001123220 is an abundant number, since it is smaller than the sum of its proper divisors (237484768198380).

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

112003001123220 is a wasteful number, since it uses less digits than its factorization.

112003001123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615469094 (or 615469086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112003001123220 its reverse (22321100300211), we get a palindrome (134324101423431).

The spelling of 112003001123220 in words is "one hundred twelve trillion, three billion, one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 337 540 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 9099 10110 12132 15165 18198 20220 30330 36396 45495 60660 90990 181980 615468739 1230937478 1846406217 2461874956 3077343695 3692812434 5539218651 6154687390 7385624868 9232031085 11078437302 12309374780 16617655953 18464062170 22156874604 27696093255 33235311906 36928124340 55392186510 66470623812 83088279765 110784373020 166176559530 207412965043 332353119060 414825930086 622238895129 829651860172 1037064825215 1244477790258 1866716685387 2074129650430 2488955580516 3111194475645 3733433370774 4148259300860 5600150056161 6222388951290 7466866741548 9333583426935 11200300112322 12444777902580 18667166853870 22400600224644 28000750280805 37334333707740 56001500561610 112003001123220