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112000323312 = 243224110872969
BaseRepresentation
bin110100001001110111…
…1010100111011110000
3101201002111100221002200
41220103233110323300
53313334040321222
6123241403343200
711043321016563
oct1502357247360
9351074327080
10112000323312
1143554298679
1219858821b00
13a73ba58477
1455c6b244da
152da7a20eac
hex1a13bd4ef0

112000323312 has 120 divisors (see below), whose sum is σ = 315141615360. Its totient is φ = 37131816960.

The previous prime is 112000323299. The next prime is 112000323313. The reversal of 112000323312 is 213323000211.

112000323312 is a `hidden beast` number, since 11 + 20 + 0 + 0 + 323 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000323313) 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, 37721764 + ... + 37724732.

It is an arithmetic number, because the mean of its divisors is an integer number (2626180128).

Almost surely, 2112000323312 is an apocalyptic number.

112000323312 is a gapful number since it is divisible by the number (12) 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 112000323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157570807680).

112000323312 is an abundant number, since it is smaller than the sum of its proper divisors (203141292048).

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

112000323312 is a wasteful number, since it uses less digits than its factorization.

112000323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112000323312 its reverse (213323000211), we get a palindrome (325323323523).

The spelling of 112000323312 in words is "one hundred twelve billion, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1087 1446 1928 2169 2174 2892 2969 3261 3856 4338 4348 5784 5938 6522 8676 8696 8907 9783 11568 11876 13044 17352 17392 17814 19566 23752 26088 26721 34704 35628 39132 47504 52176 53442 71256 78264 106884 142512 156528 213768 261967 427536 523934 715529 785901 1047868 1431058 1571802 2095736 2146587 2357703 2862116 3143604 3227303 4191472 4293174 4715406 5724232 6287208 6439761 6454606 8586348 9430812 9681909 11448464 12574416 12879522 12909212 17172696 18861624 19363818 25759044 25818424 29045727 34345392 37723248 38727636 51518088 51636848 58091454 77455272 103036176 116182908 154910544 232365816 464731632 777780023 1555560046 2333340069 3111120092 4666680138 6222240184 7000020207 9333360276 12444480368 14000040414 18666720552 28000080828 37333441104 56000161656 112000323312