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112120404324 = 223235917873853
BaseRepresentation
bin110100001101011100…
…1011001100101100100
3101201101212022200021120
41220122321121211210
53314110310414244
6123301333213540
711046306466155
oct1503271314544
9351355280246
10112120404324
1143606055285
1219890a912b0
13a75a8b0216
1455d8a6192c
152db3340819
hex1a1ae59964

112120404324 has 96 divisors (see below), whose sum is σ = 277843184640. Its totient is φ = 35113845888.

The previous prime is 112120404323. The next prime is 112120404343. The reversal of 112120404324 is 423404021211.

112120404324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112120404294 and 112120404303.

It is not an unprimeable number, because it can be changed into a prime (112120404323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29097582 + ... + 29101434.

It is an arithmetic number, because the mean of its divisors is an integer number (2894199840).

Almost surely, 2112120404324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138921592320).

112120404324 is an abundant number, since it is smaller than the sum of its proper divisors (165722780316).

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

112120404324 is a wasteful number, since it uses less digits than its factorization.

112120404324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112120404324 its reverse (423404021211), we get a palindrome (535524425535).

The spelling of 112120404324 in words is "one hundred twelve billion, one hundred twenty million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1357 1787 2714 3574 3853 4071 5361 5428 7148 7706 8142 10722 11559 15412 16284 21444 23118 41101 46236 82202 88619 105433 123303 164404 177238 210866 227327 246606 265857 316299 354476 421732 454654 493212 531714 632598 681981 909308 1063428 1265196 1363962 2424959 2727924 4849918 5228521 6885311 7274877 9699836 10457042 13770622 14549754 15685563 20655933 20914084 27541244 29099508 31371126 41311866 62742252 82623732 158362153 316724306 406233349 475086459 633448612 812466698 950172918 1218700047 1624933396 1900345836 2437400094 4874800188 9343367027 18686734054 28030101081 37373468108 56060202162 112120404324