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112023302102300 = 2252127163363714879
BaseRepresentation
bin11001011110001001110101…
…001000001101110100011100
3112200122022201112102002010002
4121132021311020031310130
5104140342210314233200
61034130443341433432
732411262566601131
oct3136116510156434
9480568645362102
10112023302102300
113276a8a7660366
1210692a4926b878
134a679a137a634
141d93d5747c588
15ce3eb32c6bd5
hex65e27520dd1c

112023302102300 has 144 divisors (see below), whose sum is σ = 246592110428160. Its totient is φ = 44168635203840.

The previous prime is 112023302102269. The next prime is 112023302102359. The reversal of 112023302102300 is 3201203320211.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7528946261 + ... + 7528961139.

Almost surely, 2112023302102300 is an apocalyptic number.

112023302102300 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 112023302102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123296055214080).

112023302102300 is an abundant number, since it is smaller than the sum of its proper divisors (134568808325860).

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

112023302102300 is a wasteful number, since it uses less digits than its factorization.

112023302102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18820 (or 18813 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112023302102300 its reverse (3201203320211), we get a palindrome (115224505422511).

The spelling of 112023302102300 in words is "one hundred twelve trillion, twenty-three billion, three hundred two million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 163 254 326 508 635 652 815 1270 1630 2540 3175 3260 3637 4075 6350 7274 8150 12700 14548 14879 16300 18185 20701 29758 36370 41402 59516 72740 74395 82804 90925 103505 148790 181850 207010 297580 363700 371975 414020 461899 517525 592831 743950 923798 1035050 1185662 1487900 1847596 1889633 2070100 2309495 2371324 2425277 2964155 3779266 4618990 4850554 5928310 7558532 9237980 9448165 9701108 11547475 11856620 12126385 14820775 18896330 23094950 24252770 29641550 37792660 46189900 47240825 48505540 54114923 59283100 60631925 75289537 94481650 108229846 121263850 150579074 188963300 216459692 242527700 270574615 301158148 308010179 376447685 541149230 616020358 752895370 1082298460 1232040716 1352873075 1505790740 1540050895 1882238425 2705746150 3080101790 3764476850 5411492300 6160203580 6872595221 7528953700 7700254475 8820732449 13745190442 15400508950 17641464898 27490380884 30801017900 34362976105 35282929796 44103662245 68725952210 88207324490 137451904420 171814880525 176414648980 220518311225 343629761050 441036622450 687259522100 882073244900 1120233021023 2240466042046 4480932084092 5601165105115 11202330210230 22404660420460 28005825525575 56011651051150 112023302102300