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200201202120213 = 327171471433929287
BaseRepresentation
bin101101100001010011111001…
…100010010011011000010101
3222020212001021222220202222200
4231201103321202103120111
5202220044030220321323
61545443055041115113
760112026264160260
oct5541237142233025
9866761258822880
10200201202120213
11588769423a9228
121a554401628a99
138792b7a665598
143761b0b627cd7
151822a5cd1c443
hexb614f9893615

200201202120213 has 96 divisors (see below), whose sum is σ = 350262061793280. Its totient is φ = 107569567848960.

The previous prime is 200201202120119. The next prime is 200201202120221. The reversal of 200201202120213 is 312021202102002.

200201202120213 is a `hidden beast` number, since 20 + 0 + 201 + 20 + 212 + 0 + 213 = 666.

It is not a de Polignac number, because 200201202120213 - 240 = 199101690492437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201202120233) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6835823856 + ... + 6835853142.

It is an arithmetic number, because the mean of its divisors is an integer number (3648563143680).

Almost surely, 2200201202120213 is an apocalyptic number.

It is an amenable number.

200201202120213 is a deficient number, since it is larger than the sum of its proper divisors (150060859673067).

200201202120213 is a wasteful number, since it uses less digits than its factorization.

200201202120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35127 (or 35124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200201202120213 its reverse (312021202102002), we get a palindrome (512222404222215).

The spelling of 200201202120213 in words is "two hundred trillion, two hundred one billion, two hundred two million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1471 4339 4413 10297 13017 13239 25007 29287 30373 30891 39051 73763 75021 87861 91119 92673 175049 205009 221289 225063 263583 273357 497879 516341 525147 615027 663867 1493637 1549023 1575441 1845081 3485153 4480911 4647069 6382669 10455459 19148007 31366377 43081177 44678683 57444021 108505373 127076293 129243531 134036049 301568239 325516119 381228879 387730593 402108147 732380009 759537611 889534051 904704717 976548357 1143686637 2160296981 2197140027 2278612833 2668602153 2714114151 5126660063 6480890943 6591420081 6835838499 8005806459 15122078867 15379980189 19442672829 45366236601 46139940567 136098709803 186929227003 560787681009 1308504589021 1682363043027 3177796859051 3925513767063 9533390577153 11776541301189 22244578013357 28600171731459 66733734040071 200201202120213