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200201212200 = 233521130333517
BaseRepresentation
bin1011101001110011101…
…1000001000100101000
3201010202100220022202010
42322130323001010220
511240003002242300
6231545434435520
720315113140333
oct2723473010450
9633670808663
10200201212200
11779a5401980
1232972b92ba0
1315b56c0c152
149992adb61a
15531ae6ca50
hex2e9cec1128

200201212200 has 96 divisors (see below), whose sum is σ = 677044121760. Its totient is φ = 48533625600.

The previous prime is 200201212187. The next prime is 200201212217. The reversal of 200201212200 is 2212102002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15160159 + ... + 15173358.

It is an arithmetic number, because the mean of its divisors is an integer number (7052542935).

Almost surely, 2200201212200 is an apocalyptic number.

200201212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201212200 is an abundant number, since it is smaller than the sum of its proper divisors (476842909560).

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

200201212200 is a wasteful number, since it uses less digits than its factorization.

200201212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30333547 (or 30333538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200201212200 its reverse (2212102002), we get a palindrome (202413314202).

The spelling of 200201212200 in words is "two hundred billion, two hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 30333517 60667034 91000551 121334068 151667585 182001102 242668136 303335170 333668687 364002204 455002755 606670340 667337374 728004408 758337925 910005510 1001006061 1213340680 1334674748 1516675850 1668343435 1820011020 2002012122 2275013775 2669349496 3033351700 3336686870 3640022040 4004024244 4550027550 5005030305 6066703400 6673373740 8008048488 8341717175 9100055100 10010060610 13346747480 16683434350 18200110200 20020121220 25025151525 33366868700 40040242440 50050303050 66733737400 100100606100 200201212200