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22020011001001 = 1310183772002001
BaseRepresentation
bin1010000000110111011101…
…11011110000010010101001
32212222002111102112112102001
411000123232323300102221
510341233440304013001
6114455504200211001
74431615254152516
oct500335673602251
985862442475361
1022020011001001
11701a6a8171082
122577761169a61
13c3962a5a50b0
14561aba65830d
15282bcea54001
hex1406eeef04a9

22020011001001 has 16 divisors (see below), whose sum is σ = 23951519495568. Its totient is φ = 20122502400000.

The previous prime is 22020011000989. The next prime is 22020011001007. The reversal of 22020011001001 is 10010011002022.

It can be written as a sum of positive squares in 8 ways, for example, as 4928599802025 + 17091411198976 = 2220045^2 + 4134176^2 .

It is not a de Polignac number, because 22020011001001 - 29 = 22020011000489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22020011001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9998001 + ... + 12000001.

It is an arithmetic number, because the mean of its divisors is an integer number (1496969968473).

Almost surely, 222020011001001 is an apocalyptic number.

It is an amenable number.

22020011001001 is a deficient number, since it is larger than the sum of its proper divisors (1931508494567).

22020011001001 is a wasteful number, since it uses less digits than its factorization.

22020011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010492.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22020011001001 its reverse (10010011002022), we get a palindrome (32030022003023).

The spelling of 22020011001001 in words is "twenty-two trillion, twenty billion, eleven million, one thousand, one".

Divisors: 1 13 101 1313 8377 108901 846077 2002001 10999001 26026013 202202101 2628627313 16770762377 218019910901 1693847000077 22020011001001