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21220102022201 = 315989269484609
BaseRepresentation
bin1001101001100101100001…
…01001001010010000111001
32210010121210101200011000222
410310302300221022100321
510240132232104202301
6113044214050505425
74320046624055435
oct464626051122071
983117711604028
1021220102022201
116841438425a15
122468721295275
13bac07c447424
145350b64279c5
1526beb474131b
hex134cb0a4a439

21220102022201 has 32 divisors (see below), whose sum is σ = 22609964160000. Its totient is φ = 19886451425280.

The previous prime is 21220102022167. The next prime is 21220102022233. The reversal of 21220102022201 is 10222020102212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21220102022201 - 26 = 21220102022137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21220102022201.

It is not an unprimeable number, because it can be changed into a prime (21220102022261) 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 31 ways as a sum of consecutive naturals, for example, 43545785 + ... + 44030393.

It is an arithmetic number, because the mean of its divisors is an integer number (706561380000).

Almost surely, 221220102022201 is an apocalyptic number.

It is an amenable number.

21220102022201 is a deficient number, since it is larger than the sum of its proper divisors (1389862137799).

21220102022201 is a wasteful number, since it uses less digits than its factorization.

21220102022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485057.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21220102022201 its reverse (10222020102212), we get a palindrome (31442122124413).

The spelling of 21220102022201 in words is "twenty-one trillion, two hundred twenty billion, one hundred two million, twenty-two thousand, two hundred one".

Divisors: 1 31 59 89 269 1829 2759 5251 8339 15871 23941 162781 484609 492001 742171 1412519 15022879 28591931 43130201 43788089 130359821 886349861 1337036231 2544681859 4041154451 7691229439 11602024069 78885137629 238428112609 359662746139 684519420071 21220102022201