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200211022012000 = 2553232176206761
BaseRepresentation
bin101101100001011101000010…
…110110001101111001100000
3222020212222122100202222002111
4231201131002312031321200
5202220224133113341000
61545451401311325104
760112524523653346
oct5541350266157140
9866788570688074
10200211022012000
115888002148727a
121a5562a2220794
138793a83c4183c
14376239d8a5996
151822e34e9ecba
hexb61742d8de60

200211022012000 has 96 divisors (see below), whose sum is σ = 513306241366464. Its totient is φ = 76602477952000.

The previous prime is 200211022011941. The next prime is 200211022012037. The reversal of 200211022012000 is 210220112002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088011381 + ... + 1088195380.

It is an arithmetic number, because the mean of its divisors is an integer number (5346940014234).

Almost surely, 2200211022012000 is an apocalyptic number.

200211022012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211022012000 is an abundant number, since it is smaller than the sum of its proper divisors (313095219354464).

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

200211022012000 is a wasteful number, since it uses less digits than its factorization.

200211022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176206809 (or 2176206791 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200211022012000 its reverse (210220112002), we get a palindrome (200421242124002).

The spelling of 200211022012000 in words is "two hundred trillion, two hundred eleven billion, twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 2176206761 4352413522 8704827044 10881033805 17409654088 21762067610 34819308176 43524135220 50052755503 54405169025 69638616352 87048270440 100105511006 108810338050 174096540880 200211022012 217620676100 250263777515 272025845125 348193081760 400422044024 435241352200 500527555030 544051690250 800844088048 870482704400 1001055110060 1088103380500 1251318887575 1601688176096 1740965408800 2002110220120 2176206761000 2502637775150 4004220440240 4352413522000 5005275550300 6256594437875 8008440880480 8704827044000 10010551100600 12513188875750 20021102201200 25026377751500 40042204402400 50052755503000 100105511006000 200211022012000