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112321130100 = 223521722023751
BaseRepresentation
bin110100010011011011…
…1000110111001110100
3101201220212000121021120
41220212313012321310
53320013202130400
6123333303343540
711054264565414
oct1504667067164
9351825017246
10112321130100
11436a9393553
1219928151bb0
13a79035c97a
145617592644
152dc5c8eca0
hex1a26dc6e74

112321130100 has 72 divisors (see below), whose sum is σ = 344099101248. Its totient is φ = 28190400000.

The previous prime is 112321130099. The next prime is 112321130147. The reversal of 112321130100 is 1031123211.

It is a happy number.

112321130100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123211301002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112321130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11006776 + ... + 11016975.

It is an arithmetic number, because the mean of its divisors is an integer number (4779154184).

Almost surely, 2112321130100 is an apocalyptic number.

112321130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112321130100 is an abundant number, since it is smaller than the sum of its proper divisors (231777971148).

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

112321130100 is a wasteful number, since it uses less digits than its factorization.

112321130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22023785 (or 22023778 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112321130100 its reverse (1031123211), we get a palindrome (113352253311).

The spelling of 112321130100 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 22023751 44047502 66071253 88095004 110118755 132142506 220237510 264285012 330356265 374403767 440475020 550593775 660712530 748807534 1101187550 1123211301 1321425060 1497615068 1651781325 1872018835 2202375100 2246422602 3303562650 3744037670 4492845204 5616056505 6607125300 7488075340 9360094175 11232113010 18720188350 22464226020 28080282525 37440376700 56160565050 112321130100