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112330022300 = 225243191233587
BaseRepresentation
bin110100010011101100…
…1000001110110011100
3101201221110202101002022
41220213121001312130
53320022441203200
6123334222115312
711054433302246
oct1504731016634
9351843671068
10112330022300
1143703407381
121992b11bb38
13a792154222
145618829096
152dc6949885
hex1a27641d9c

112330022300 has 144 divisors (see below), whose sum is σ = 252235855872. Its totient is φ = 43395878400.

The previous prime is 112330022269. The next prime is 112330022333. The reversal of 112330022300 is 3220033211.

112330022300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 191362607 + ... + 191363193.

It is an arithmetic number, because the mean of its divisors is an integer number (1751637888).

Almost surely, 2112330022300 is an apocalyptic number.

112330022300 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 112330022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126117927936).

112330022300 is an abundant number, since it is smaller than the sum of its proper divisors (139905833572).

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

112330022300 is a wasteful number, since it uses less digits than its factorization.

112330022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 112330022300 its reverse (3220033211), we get a palindrome (115550055511).

The spelling of 112330022300 in words is "one hundred twelve billion, three hundred thirty million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 191 215 233 382 430 466 587 764 860 932 955 1075 1165 1174 1910 2150 2330 2348 2935 3820 4300 4660 4775 5825 5870 8213 9550 10019 11650 11740 14675 16426 19100 20038 23300 25241 29350 32852 40076 41065 44503 50095 50482 58700 82130 89006 100190 100964 112117 126205 136771 164260 178012 200380 205325 222515 224234 250475 252410 273542 410650 445030 448468 500950 504820 547084 560585 631025 683855 821300 890060 1001900 1112575 1121170 1262050 1367710 1913629 2225150 2242340 2524100 2735420 2802925 3419275 3827258 4450300 4821031 5605850 5881153 6838550 7654516 9568145 9642062 11211700 11762306 13677100 19136290 19284124 23524612 24105155 26123261 29405765 38272580 47840725 48210310 52246522 58811530 95681450 96420620 104493044 117623060 120525775 130616305 147028825 191362900 241051550 261232610 294057650 482103100 522465220 588115300 653081525 1123300223 1306163050 2246600446 2612326100 4493200892 5616501115 11233002230 22466004460 28082505575 56165011150 112330022300