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10013112231300 = 22325237300694061
BaseRepresentation
bin1001000110110101101111…
…1111110110010110000100
31022110020121000012121200200
42101231123333312112010
52303023323212400200
633143543225410500
72052265153436013
oct221553377662604
938406530177620
1010013112231300
11321059a8a4512
121158737039a30
13578303864079
142688cc750a7a
151256e6163800
hex91b5bff6584

10013112231300 has 108 divisors (see below), whose sum is σ = 32233802058276. Its totient is φ = 2597996678400.

The previous prime is 10013112231293. The next prime is 10013112231313. The reversal of 10013112231300 is 313221131001.

10013112231300 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 311 + 22 + 31 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 748539893124 + 9264572338176 = 865182^2 + 3043776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150313731 + ... + 150380330.

Almost surely, 210013112231300 is an apocalyptic number.

10013112231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013112231300 is an abundant number, since it is smaller than the sum of its proper divisors (22220689826976).

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

10013112231300 is a wasteful number, since it uses less digits than its factorization.

10013112231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300694118 (or 300694108 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10013112231300 its reverse (313221131001), we get a palindrome (10326333362301).

The spelling of 10013112231300 in words is "ten trillion, thirteen billion, one hundred twelve million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 300694061 601388122 902082183 1202776244 1503470305 1804164366 2706246549 3006940610 3608328732 4510410915 5412493098 6013881220 7517351525 9020821830 10824986196 11125680257 13531232745 15034703050 18041643660 22251360514 22552054575 27062465490 30069406100 33377040771 44502721028 45104109150 54124930980 55628401285 66754081542 67656163725 90208218300 100131122313 111256802570 133508163084 135312327450 166885203855 200262244626 222513605140 270624654900 278142006425 333770407710 400524489252 500655611565 556284012850 667540815420 834426019275 1001311223130 1112568025700 1668852038550 2002622446260 2503278057825 3337704077100 5006556115650 10013112231300