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112323030100 = 225241156717483
BaseRepresentation
bin110100010011011111…
…0010110110001010100
3101201220222121010120221
41220212332112301110
53320014143430400
6123333412204124
711054320000651
oct1504676266124
9351828533527
10112323030100
11436aa470aa6
1219928909644
13a790876728
145617928c28
152dc6017c1a
hex1a26f96c54

112323030100 has 72 divisors (see below), whose sum is σ = 249859507968. Its totient is φ = 43802899200.

The previous prime is 112323030091. The next prime is 112323030101. The reversal of 112323030100 is 1030323211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112323030101) by changing a digit.

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, 6415959 + ... + 6433441.

It is an arithmetic number, because the mean of its divisors is an integer number (3470270944).

Almost surely, 2112323030100 is an apocalyptic number.

112323030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112323030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124929753984).

112323030100 is an abundant number, since it is smaller than the sum of its proper divisors (137536477868).

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

112323030100 is a wasteful number, since it uses less digits than its factorization.

112323030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19105 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 112323030100 its reverse (1030323211), we get a palindrome (113353353311).

The spelling of 112323030100 in words is "one hundred twelve billion, three hundred twenty-three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1567 2050 3134 4100 6268 7835 15670 17483 31340 34966 39175 64247 69932 78350 87415 128494 156700 174830 256988 321235 349660 437075 642470 716803 874150 1284940 1433606 1606175 1748300 2867212 3212350 3584015 6424700 7168030 14336060 17920075 27395861 35840150 54791722 71680300 109583444 136979305 273958610 547917220 684896525 1123230301 1369793050 2246460602 2739586100 4492921204 5616151505 11232303010 22464606020 28080757525 56161515050 112323030100