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112313332300 = 225213193144741
BaseRepresentation
bin110100010011001100…
…1010111001001001100
3101201220022100102201011
41220212121113021030
53320004203113200
6123332424255004
711054141400331
oct1504631271114
9351808312634
10112313332300
11436a4a47994
1219925611464
13a78b85c5a0
145616522988
152dc524e5ba
hex1a2665724c

112313332300 has 72 divisors (see below), whose sum is σ = 262609410672. Its totient is φ = 41447136000.

The previous prime is 112313332297. The next prime is 112313332301. The reversal of 112313332300 is 3233313211.

It is a super-2 number, since 2×1123133323002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112313332301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487930 + ... + 2532670.

It is an arithmetic number, because the mean of its divisors is an integer number (3647352926).

Almost surely, 2112313332300 is an apocalyptic number.

112313332300 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 112313332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131304705336).

112313332300 is an abundant number, since it is smaller than the sum of its proper divisors (150296078372).

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

112313332300 is a wasteful number, since it uses less digits than its factorization.

112313332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46699 (or 46692 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 112313332300 its reverse (3233313211), we get a palindrome (115546645511).

The spelling of 112313332300 in words is "one hundred twelve billion, three hundred thirteen million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1931 3862 7724 9655 19310 25103 38620 44741 48275 50206 89482 96550 100412 125515 178964 193100 223705 251030 447410 502060 581633 627575 894820 1118525 1163266 1255150 2237050 2326532 2510300 2908165 4474100 5816330 11632660 14540825 29081650 58163300 86394871 172789742 345579484 431974355 863948710 1123133323 1727897420 2159871775 2246266646 4319743550 4492533292 5615666615 8639487100 11231333230 22462666460 28078333075 56156666150 112313332300