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201202122004 = 22132327314313
BaseRepresentation
bin1011101101100010010…
…1001011110100010100
3201020100010021210212121
42323120211023310110
511244030220401004
6232233031425324
720351655550612
oct2733045136424
9636303253777
10201202122004
1178369397264
1232bb2225244
1315c863a7480
149a49a046b2
155378c7d854
hex2ed894bd14

201202122004 has 36 divisors (see below), whose sum is σ = 396391932916. Its totient is φ = 88825004928.

The previous prime is 201202122001. The next prime is 201202122091. The reversal of 201202122004 is 400221202102.

201202122004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38454425604 + 162747696400 = 196098^2 + 403420^2 .

It is a super-3 number, since 3×2012021220043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3629649 + ... + 3684664.

Almost surely, 2201202122004 is an apocalyptic number.

It is an amenable number.

201202122004 is a deficient number, since it is larger than the sum of its proper divisors (195189810912).

201202122004 is a wasteful number, since it uses less digits than its factorization.

201202122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314376 (or 7314351 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201202122004 its reverse (400221202102), we get a palindrome (601423324106).

The spelling of 201202122004 in words is "two hundred one billion, two hundred two million, one hundred twenty-two thousand, four".

Divisors: 1 2 4 13 23 26 46 52 92 299 529 598 1058 1196 2116 6877 13754 27508 7314313 14628626 29257252 95086069 168229199 190172138 336458398 380344276 672916796 2186979587 3869271577 4373959174 7738543154 8747918348 15477086308 50300530501 100601061002 201202122004