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112120210332 = 223213597157191
BaseRepresentation
bin110100001101011100…
…0101010001110011100
3101201101211221211011200
41220122320222032130
53314110233212312
6123301325115500
711046305030454
oct1503270521634
9351354854150
10112120210332
1143605a32559
12198909b8b90
13a75a842b30
1455d8a10d64
152db33030dc
hex1a1ae2a39c

112120210332 has 144 divisors (see below), whose sum is σ = 314766466560. Its totient is φ = 33435561600.

The previous prime is 112120210297. The next prime is 112120210369. The reversal of 112120210332 is 233012021211.

112120210332 is a `hidden beast` number, since 1 + 1 + 2 + 120 + 210 + 332 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931857 + ... + 1989047.

It is an arithmetic number, because the mean of its divisors is an integer number (2185878240).

Almost surely, 2112120210332 is an apocalyptic number.

112120210332 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 112120210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157383233280).

112120210332 is an abundant number, since it is smaller than the sum of its proper divisors (202646256228).

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

112120210332 is a wasteful number, since it uses less digits than its factorization.

112120210332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57344 (or 57339 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112120210332 its reverse (233012021211), we get a palindrome (345132231543).

The spelling of 112120210332 in words is "one hundred twelve billion, one hundred twenty million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 71 78 117 118 142 156 177 213 234 236 284 354 426 468 531 639 708 767 852 923 1062 1278 1534 1846 2124 2301 2556 2769 3068 3692 4189 4602 5538 6903 8307 8378 9204 11076 12567 13806 16614 16756 25134 27612 33228 37701 50268 54457 57191 75402 108914 114382 150804 163371 171573 217828 228764 326742 343146 490113 514719 653484 686292 743483 980226 1029438 1486966 1960452 2058876 2230449 2973932 3374269 4060561 4460898 6691347 6748538 8121122 8921796 10122807 12181683 13382694 13497076 16242244 20245614 24363366 26765388 30368421 36545049 40491228 43865497 48726732 52787293 60736842 73090098 87730994 105574586 121473684 131596491 146180196 158361879 175461988 211149172 239573099 263192982 316723758 394789473 475085637 479146198 526385964 633447516 718719297 789578946 950171274 958292396 1437438594 1579157892 1900342548 2156157891 2874877188 3114450287 4312315782 6228900574 8624631564 9343350861 12457801148 18686701722 28030052583 37373403444 56060105166 112120210332