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112313100 = 223523171181
BaseRepresentation
bin1101011000111…
…00001100001100
321211100002121110
412230130030030
5212223004400
615051132020
72532434304
oct654341414
9254302543
10112313100
1158441549
1231744010
131a365173
1410cb8604
159cd7e50
hex6b1c30c

112313100 has 72 divisors (see below), whose sum is σ = 326260368. Its totient is φ = 29830400.

The previous prime is 112313087. The next prime is 112313107. The reversal of 112313100 is 1313211.

It is a super-2 number, since 2×1123131002 = 25228464863220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112313107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94510 + ... + 95690.

It is an arithmetic number, because the mean of its divisors is an integer number (4531394).

Almost surely, 2112313100 is an apocalyptic number.

112313100 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 112313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163130184).

112313100 is an abundant number, since it is smaller than the sum of its proper divisors (213947268).

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

112313100 is a wasteful number, since it uses less digits than its factorization.

112313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 112313100 is about 10597.7875049465. The cubic root of 112313100 is about 482.4772108399.

Adding to 112313100 its reverse (1313211), we get a palindrome (113626311).

The spelling of 112313100 in words is "one hundred twelve million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 317 634 951 1181 1268 1585 1902 2362 3170 3543 3804 4724 4755 5905 6340 7086 7925 9510 11810 14172 15850 17715 19020 23620 23775 29525 31700 35430 47550 59050 70860 88575 95100 118100 177150 354300 374377 748754 1123131 1497508 1871885 2246262 3743770 4492524 5615655 7487540 9359425 11231310 18718850 22462620 28078275 37437700 56156550 112313100