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20010010020201 = 3217293446363069
BaseRepresentation
bin1001000110010111100011…
…00010100000100101101001
32121211221100000002012220200
410203023301202200211221
510110321000031121301
6110320245515342413
74133450462546145
oct443136142404551
977757300065820
1020010010020201
116415219aa6403
1222b20a7a51a09
13b21c2209c006
144d26bd86c225
1524a78da72c86
hex1232f18a0969

20010010020201 has 24 divisors (see below), whose sum is σ = 30707993763720. Its totient is φ = 12512449522176.

The previous prime is 20010010020197. The next prime is 20010010020233. The reversal of 20010010020201 is 10202001001002.

It can be written as a sum of positive squares in 4 ways, for example, as 3873118464576 + 16136891555625 = 1968024^2 + 4017075^2 .

It is not a de Polignac number, because 20010010020201 - 22 = 20010010020197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20010010020251) 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 23 ways as a sum of consecutive naturals, for example, 223136706 + ... + 223226363.

It is an arithmetic number, because the mean of its divisors is an integer number (1279499740155).

Almost surely, 220010010020201 is an apocalyptic number.

It is an amenable number.

20010010020201 is a deficient number, since it is larger than the sum of its proper divisors (10697983743519).

20010010020201 is a wasteful number, since it uses less digits than its factorization.

20010010020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446363385 (or 446363382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010010020201 its reverse (10202001001002), we get a palindrome (30212011021203).

The spelling of 20010010020201 in words is "twenty trillion, ten billion, ten million, twenty thousand, two hundred one".

Divisors: 1 3 9 17 51 153 293 879 2637 4981 14943 44829 446363069 1339089207 4017267621 7588172173 22764516519 68293549557 130784379217 392353137651 1177059412953 2223334446689 6670003340067 20010010020201