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200231012000 = 255368373291
BaseRepresentation
bin1011101001111010110…
…0101100011010100000
3201010211102222022101102
42322132230230122200
511240033114341000
6231552421253532
720315624343245
oct2723654543240
9633742868342
10200231012000
1177a10205a08
1232980b642a8
1315b60143c76
149996a575cc
15531d8a73d5
hex2e9eb2c6a0

200231012000 has 96 divisors (see below), whose sum is σ = 492694622784. Its totient is φ = 79974048000.

The previous prime is 200231011987. The next prime is 200231012011. The reversal of 200231012000 is 210132002.

It is a happy number.

200231012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2695355 + ... + 2768645.

It is an arithmetic number, because the mean of its divisors is an integer number (5132235654).

Almost surely, 2200231012000 is an apocalyptic number.

200231012000 is a gapful number since it is divisible by the number (20) 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 200231012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246347311392).

200231012000 is an abundant number, since it is smaller than the sum of its proper divisors (292463610784).

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

200231012000 is an equidigital number, since it uses as much as digits as its factorization.

200231012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73999 (or 73981 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 200231012000 its reverse (210132002), we get a palindrome (200441144002).

The spelling of 200231012000 in words is "two hundred billion, two hundred thirty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 683 800 1000 1366 2000 2732 3415 4000 5464 6830 10928 13660 17075 21856 27320 34150 54640 68300 73291 85375 109280 136600 146582 170750 273200 293164 341500 366455 546400 586328 683000 732910 1172656 1366000 1465820 1832275 2345312 2732000 2931640 3664550 5863280 7329100 9161375 11726560 14658200 18322750 29316400 36645500 50057753 58632800 73291000 100115506 146582000 200231012 250288765 293164000 400462024 500577530 800924048 1001155060 1251443825 1601848096 2002310120 2502887650 4004620240 5005775300 6257219125 8009240480 10011550600 12514438250 20023101200 25028876500 40046202400 50057753000 100115506000 200231012000