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112012310213300 = 225271093299948817
BaseRepresentation
bin11001011101111111100101…
…111101011111001010110100
3112200121021100111020021002002
4121131333211331133022310
5104140202202403311200
61034121424523234432
732410423316226410
oct3135774575371264
9480537314207062
10112012310213300
1132766176a62482
12106908a0078a18
134a6693c032ac3
141d935d36bdd40
15ce3a6d2dabd5
hex65dfe5f5f2b4

112012310213300 has 144 divisors (see below), whose sum is σ = 278143093536000. Its totient is φ = 38355504445440.

The previous prime is 112012310213269. The next prime is 112012310213369. The reversal of 112012310213300 is 3312013210211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2294510492 + ... + 2294559308.

Almost surely, 2112012310213300 is an apocalyptic number.

112012310213300 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 112012310213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139071546768000).

112012310213300 is an abundant number, since it is smaller than the sum of its proper divisors (166130783322700).

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

112012310213300 is a wasteful number, since it uses less digits than its factorization.

112012310213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52930 (or 52923 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 112012310213300 its reverse (3312013210211), we get a palindrome (115324323423511).

The spelling of 112012310213300 in words is "one hundred twelve trillion, twelve billion, three hundred ten million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1093 2186 2999 4372 5465 5998 7651 10930 11996 14995 15302 20993 21860 27325 29990 30604 38255 41986 48817 54650 59980 74975 76510 83972 97634 104965 109300 149950 153020 191275 195268 209930 244085 299900 341719 382550 419860 488170 524825 683438 765100 976340 1049650 1220425 1366876 1708595 2099300 2440850 3277907 3417190 4881700 6555814 6834380 8542975 13111628 16389535 17085950 22945349 32779070 34171900 45890698 53356981 65558140 81947675 91781396 106713962 114726745 146402183 163895350 213427924 229453490 266784905 292804366 327790700 373498867 458906980 533569810 573633725 585608732 732010915 746997734 1024815281 1067139620 1147267450 1333924525 1464021830 1493995468 1867494335 2049630562 2294534900 2667849050 2928043660 3660054575 3734988670 4099261124 5124076405 5335698100 7320109150 7469977340 9337471675 10248152810 14640218300 18674943350 20496305620 25620382025 37349886700 51240764050 102481528100 160017586019 320035172038 640070344076 800087930095 1120123102133 1600175860190 2240246204266 3200351720380 4000439650475 4480492408532 5600615510665 8000879300950 11201231021330 16001758601900 22402462042660 28003077553325 56006155106650 112012310213300