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10112031200 = 255247268937
BaseRepresentation
bin10010110101011100…
…10101100111100000
3222002201120102001002
421122232111213200
5131202134444300
64351223531132
7505404563345
oct113256254740
928081512032
1010112031200
114319a83787
121b625b9aa8
13c51c8421b
146bcda67cc
153e2b3c5d5
hex25ab959e0

10112031200 has 72 divisors (see below), whose sum is σ = 25211323872. Its totient is φ = 3958737920.

The previous prime is 10112031191. The next prime is 10112031203. The reversal of 10112031200 is 213021101.

10112031200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112031203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96869 + ... + 172068.

It is an arithmetic number, because the mean of its divisors is an integer number (350157276).

Almost surely, 210112031200 is an apocalyptic number.

10112031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112031200 is an abundant number, since it is smaller than the sum of its proper divisors (15099292672).

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

10112031200 is a wasteful number, since it uses less digits than its factorization.

10112031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269004 (or 268991 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10112031200 its reverse (213021101), we get a palindrome (10325052301).

The spelling of 10112031200 in words is "ten billion, one hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 268937 537874 1075748 1344685 2151496 2689370 4302992 5378740 6723425 8605984 10757480 12640039 13446850 21514960 25280078 26893700 43029920 50560156 53787400 63200195 101120312 107574800 126400390 202240624 215149600 252800780 316000975 404481248 505601560 632001950 1011203120 1264003900 2022406240 2528007800 5056015600 10112031200