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201200022011 = 3974216012003
BaseRepresentation
bin1011101101100001110…
…1001011000111111011
3201020022222100010020002
42323120131023013323
511244024201201021
6232232514423215
720351631653312
oct2733035130773
9636288303202
10201200022011
117836819252a
1232bb1591b0b
1315c85b20681
149a49619279
1553789b650b
hex2ed874b1fb

201200022011 has 16 divisors (see below), whose sum is σ = 202623462048. Its totient is φ = 199783584000.

The previous prime is 201200021933. The next prime is 201200022041. The reversal of 201200022011 is 110220002102.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201200022011 is a prime.

It is a super-3 number, since 3×2012000220113 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201200021983 and 201200022001.

It is not an unprimeable number, because it can be changed into a prime (201200022041) 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 15 ways as a sum of consecutive naturals, for example, 100448336 + ... + 100450338.

It is an arithmetic number, because the mean of its divisors is an integer number (12663966378).

Almost surely, 2201200022011 is an apocalyptic number.

201200022011 is a deficient number, since it is larger than the sum of its proper divisors (1423440037).

201200022011 is a wasteful number, since it uses less digits than its factorization.

201200022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201200022011 its reverse (110220002102), we get a palindrome (311420024113).

The spelling of 201200022011 in words is "two hundred one billion, two hundred million, twenty-two thousand, eleven".

Divisors: 1 397 421 601 2003 167137 238597 253021 795191 843263 1203803 100449337 334775411 477909791 506801063 201200022011