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20001022021201 = 132821144152549
BaseRepresentation
bin1001000110000110110011…
…10100000000111001010001
32121211002010121120120011211
410203003121310000321101
510110144043114134301
6110312202003340121
74133011654040344
oct443033164007121
977732117516154
1020001022021201
116411427561761
1222b03b9981641
13b2111bc61300
144d20a9c9c45b
1524a414967051
hex1230d9d00e51

20001022021201 has 12 divisors (see below), whose sum is σ = 21684291486300. Its totient is φ = 18439993940160.

The previous prime is 20001022021163. The next prime is 20001022021213. The reversal of 20001022021201 is 10212022010002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6271773931201 + 13729248090000 = 2504351^2 + 3705300^2 .

It is not a de Polignac number, because 20001022021201 - 213 = 20001022013009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20001022061201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71937526 + ... + 72215023.

It is an arithmetic number, because the mean of its divisors is an integer number (1807024290525).

Almost surely, 220001022021201 is an apocalyptic number.

It is an amenable number.

20001022021201 is a deficient number, since it is larger than the sum of its proper divisors (1683269465099).

20001022021201 is a wasteful number, since it uses less digits than its factorization.

20001022021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144153396 (or 144153383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20001022021201 its reverse (10212022010002), we get a palindrome (30213044031203).

The spelling of 20001022021201 in words is "twenty trillion, one billion, twenty-two million, twenty-one thousand, two hundred one".

Divisors: 1 13 169 821 10673 138749 144152549 1873983137 24361780781 118349242729 1538540155477 20001022021201