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12300607000 = 2353112348619
BaseRepresentation
bin10110111010010110…
…00101111000011000
31011202020202120122001
423131023011320120
5200142423411000
65352324410344
7613551301663
oct133513057030
934666676561
1012300607000
115242410110
1224735469b4
1312105159a6
1484990c6da
154bed4e46a
hex2dd2c5e18

12300607000 has 128 divisors (see below), whose sum is σ = 32765990400. Its totient is φ = 4278384000.

The previous prime is 12300606991. The next prime is 12300607009. The reversal of 12300607000 is 70600321.

12300607000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12300606991) and next prime (12300607009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300607009) 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 31 ways as a sum of consecutive naturals, for example, 228691 + ... + 277309.

It is an arithmetic number, because the mean of its divisors is an integer number (255984300).

Almost surely, 212300607000 is an apocalyptic number.

12300607000 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 12300607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382995200).

12300607000 is an abundant number, since it is smaller than the sum of its proper divisors (20465383400).

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

12300607000 is a wasteful number, since it uses less digits than its factorization.

12300607000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48674 (or 48660 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The spelling of 12300607000 in words is "twelve billion, three hundred million, six hundred seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 48619 50600 63250 97238 126500 194476 243095 253000 388952 486190 534809 972380 1069618 1118237 1215475 1944760 2139236 2236474 2430950 2674045 4278472 4472948 4861900 5348090 5591185 6077375 8945896 9723800 10696180 11182370 12154750 12300607 13370225 21392360 22364740 24309500 24601214 26740450 27955925 44729480 48619000 49202428 53480900 55911850 61503035 66851125 98404856 106961800 111823700 123006070 133702250 139779625 223647400 246012140 267404500 279559250 307515175 492024280 534809000 559118500 615030350 1118237000 1230060700 1537575875 2460121400 3075151750 6150303500 12300607000