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21210120222201 = 3214921401739061
BaseRepresentation
bin1001101001010010111011…
…01011100111010111111001
32210002200000202011011121200
410310221131223213113321
510240001311234102301
6113035443354124413
74316244360134631
oct464513553472771
983080022134550
1021210120222201
116838185a11929
1224667b6420709
13bab14b45ccb1
1453480a8816c1
1526bacd27ac86
hex134a5dae75f9

21210120222201 has 24 divisors (see below), whose sum is σ = 30843939601800. Its totient is φ = 14044504992000.

The previous prime is 21210120222191. The next prime is 21210120222233. The reversal of 21210120222201 is 10222202101212.

It is a happy number.

21210120222201 is a `hidden beast` number, since 2 + 121 + 0 + 120 + 222 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 970028010000 + 20240092212201 = 984900^2 + 4498899^2 .

It is not a de Polignac number, because 21210120222201 - 27 = 21210120222073 is a prime.

It is a super-2 number, since 2×212101202222012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21210120322201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28329211 + ... + 29068271.

It is an arithmetic number, because the mean of its divisors is an integer number (1285164150075).

Almost surely, 221210120222201 is an apocalyptic number.

It is an amenable number.

21210120222201 is a deficient number, since it is larger than the sum of its proper divisors (9633819379599).

21210120222201 is a wasteful number, since it uses less digits than its factorization.

21210120222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760617 (or 760614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21210120222201 its reverse (10222202101212), we get a palindrome (31432322323413).

The spelling of 21210120222201 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 149 447 1341 21401 64203 192609 739061 2217183 3188749 6651549 9566247 28698741 110120089 330360267 991080801 15816644461 47449933383 142349800149 2356680024689 7070040074067 21210120222201