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112113211201400 = 235237313811088239
BaseRepresentation
bin11001011111011101100100…
…001000001101011101111000
3112200221220210110020112122102
4121133131210020031131320
5104143330324031421100
61034240033113442532
732420624613410363
oct3137354410153570
9480856713215572
10112113211201400
11327a4a44a35242
12106a835b710448
134a732cc3c38a6
141d984462770da
15ce64c6699cd5
hex65f76420d778

112113211201400 has 96 divisors (see below), whose sum is σ = 261551541028800. Its totient is φ = 44692628774400.

The previous prime is 112113211201393. The next prime is 112113211201403. The reversal of 112113211201400 is 4102112311211.

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 not an unprimeable number, because it can be changed into a prime (112113211201403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102478481 + ... + 103566719.

It is an arithmetic number, because the mean of its divisors is an integer number (2724495219050).

Almost surely, 2112113211201400 is an apocalyptic number.

112113211201400 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 112113211201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130775770514400).

112113211201400 is an abundant number, since it is smaller than the sum of its proper divisors (149438329827400).

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

112113211201400 is a wasteful number, since it uses less digits than its factorization.

112113211201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090009 (or 1090000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 112113211201400 its reverse (4102112311211), we get a palindrome (116215323512611).

The spelling of 112113211201400 in words is "one hundred twelve trillion, one hundred thirteen billion, two hundred eleven million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1381 1492 1865 2762 2984 3730 5524 6905 7460 9325 11048 13810 14920 18650 27620 34525 37300 55240 69050 74600 138100 276200 515113 1030226 1088239 2060452 2176478 2575565 4120904 4352956 5151130 5441195 8705912 10302260 10882390 12877825 20604520 21764780 25755650 27205975 43529560 51511300 54411950 103022600 108823900 217647800 405913147 811826294 1502858059 1623652588 2029565735 3005716118 3247305176 4059131470 6011432236 7514290295 8118262940 10147828675 12022864472 15028580590 16236525880 20295657350 30057161180 37571451475 40591314700 60114322360 75142902950 81182629400 150285805900 300571611800 560566056007 1121132112014 2242264224028 2802830280035 4484528448056 5605660560070 11211321120140 14014151400175 22422642240280 28028302800350 56056605600700 112113211201400