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112430100 = 223522912923
BaseRepresentation
bin1101011001110…
…00110000010100
321211120001002210
412230320300110
5212240230400
615053433420
72533432356
oct654706024
9254501083
10112430100
1158511442
123179b870
131a3a64b3
1410d090d6
159d0c950
hex6b38c14

112430100 has 72 divisors (see below), whose sum is σ = 336540960. Its totient is φ = 28945280.

The previous prime is 112430099. The next prime is 112430113. The reversal of 112430100 is 1034211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2239 + ... + 15161.

It is an arithmetic number, because the mean of its divisors is an integer number (4674180).

Almost surely, 2112430100 is an apocalyptic number.

112430100 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 112430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168270480).

112430100 is an abundant number, since it is smaller than the sum of its proper divisors (224110860).

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

112430100 is a wasteful number, since it uses less digits than its factorization.

112430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12969 (or 12962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112430100 is about 10603.3060881972. The cubic root of 112430100 is about 482.6446897987.

Adding to 112430100 its reverse (1034211), we get a palindrome (113464311).

The spelling of 112430100 in words is "one hundred twelve million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 12923 25846 38769 51692 64615 77538 129230 155076 193845 258460 323075 374767 387690 646150 749534 775380 969225 1124301 1292300 1499068 1873835 1938450 2248602 3747670 3876900 4497204 5621505 7495340 9369175 11243010 18738350 22486020 28107525 37476700 56215050 112430100