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112313220 = 223517149739
BaseRepresentation
bin1101011000111…
…00001110000100
321211100002202220
412230130032010
5212223010340
615051132340
72532434535
oct654341604
9254302686
10112313220
1158441648
12317440b0
131a365236
1410cb868c
159cd7ed0
hex6b1c384

112313220 has 96 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 27961344.

The previous prime is 112313197. The next prime is 112313269. The reversal of 112313220 is 22313211.

It is a super-2 number, since 2×1123132202 = 25228518773536800, which 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 112313220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151611 + ... + 152349.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2112313220 is an apocalyptic number.

112313220 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 112313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

112313220 is an abundant number, since it is smaller than the sum of its proper divisors (223350780).

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

112313220 is a wasteful number, since it uses less digits than its factorization.

112313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112313220 is about 10597.7931665041. The cubic root of 112313220 is about 482.4773826727.

Adding to 112313220 its reverse (22313211), we get a palindrome (134626431).

Subtracting from 112313220 its reverse (22313211), we obtain a palindrome (90000009).

The spelling of 112313220 in words is "one hundred twelve million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 149 170 204 255 298 340 447 510 596 739 745 894 1020 1478 1490 1788 2217 2235 2533 2956 2980 3695 4434 4470 5066 7390 7599 8868 8940 10132 11085 12563 12665 14780 15198 22170 25126 25330 30396 37689 37995 44340 50252 50660 62815 75378 75990 110111 125630 150756 151980 188445 220222 251260 330333 376890 440444 550555 660666 753780 1101110 1321332 1651665 1871887 2202220 3303330 3743774 5615661 6606660 7487548 9359435 11231322 18718870 22462644 28078305 37437740 56156610 112313220