Search a number
-
+
211202100012200 = 235211258193718229
BaseRepresentation
bin110000000001011001010010…
…001001011010010010101000
31000200210201112111010002112212
4300001121102021122102220
5210140313400100342300
62025104523313424252
762325563632332533
oct6001312211322250
91020721474102485
10211202100012200
116132834247a730
121b83046bb6b088
1390b0370ac566b
143a2234412ba1a
151963cb8238935
hexc0165225a4a8

211202100012200 has 96 divisors (see below), whose sum is σ = 535706218188000. Its totient is φ = 76797768403200.

The previous prime is 211202100012191. The next prime is 211202100012203. The reversal of 211202100012200 is 2210001202112.

It is not an unprimeable number, because it can be changed into a prime (211202100012203) 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 23 ways as a sum of consecutive naturals, for example, 54942686 + ... + 58660914.

It is an arithmetic number, because the mean of its divisors is an integer number (5580273106125).

Almost surely, 2211202100012200 is an apocalyptic number.

211202100012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202100012200 is an abundant number, since it is smaller than the sum of its proper divisors (324504118175800).

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

211202100012200 is a wasteful number, since it uses less digits than its factorization.

211202100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744075 (or 3744066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211202100012200 its reverse (2210001202112), we get a palindrome (213412101214312).

The spelling of 211202100012200 in words is "two hundred eleven trillion, two hundred two billion, one hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25819 51638 103276 129095 206552 258190 284009 516380 568018 645475 1032760 1136036 1290950 1420045 2272072 2581900 2840090 3718229 5163800 5680180 7100225 7436458 11360360 14200450 14872916 18591145 28400900 29745832 37182290 40900519 56801800 74364580 81801038 92955725 148729160 163602076 185911450 204502595 327204152 371822900 409005190 743645800 818010380 1022512975 1636020760 2045025950 4090051900 8180103800 96000954551 192001909102 384003818204 480004772755 768007636408 960009545510 1056010500061 1920019091020 2112021000122 2400023863775 3840038182040 4224042000244 4800047727550 5280052500305 8448084000488 9600095455100 10560105000610 19200190910200 21120210001220 26400262501525 42240420002440 52800525003050 105601050006100 211202100012200