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20010012221001 = 3114118318077207
BaseRepresentation
bin1001000110010111100011…
…01010111001111001001001
32121211221100011020000211210
410203023301222321321021
510110321001112033001
6110320250034443333
74133450520343365
oct443136152717111
977757304200753
1020010012221001
116415220269950
1222b20a8733549
13b21c2268c96a
144d26bdc822a5
1524a78dd59dd6
hex1232f1ab9e49

20010012221001 has 32 divisors (see below), whose sum is σ = 29831649232896. Its totient is φ = 11825029584000.

The previous prime is 20010012220973. The next prime is 20010012221057. The reversal of 20010012221001 is 10012221001002.

It is not a de Polignac number, because 20010012221001 - 213 = 20010012212809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20010012201001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561261 + ... + 6515946.

It is an arithmetic number, because the mean of its divisors is an integer number (932239038528).

Almost surely, 220010012221001 is an apocalyptic number.

It is an amenable number.

20010012221001 is a deficient number, since it is larger than the sum of its proper divisors (9821637011895).

20010012221001 is a wasteful number, since it uses less digits than its factorization.

20010012221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079093.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010012221001 its reverse (10012221001002), we get a palindrome (30022233222003).

The spelling of 20010012221001 in words is "twenty trillion, ten billion, twelve million, two hundred twenty-one thousand, one".

Divisors: 1 3 11 33 41 123 451 1353 1831 5493 20141 60423 75071 225213 825781 2477343 8077207 24231621 88849277 266547831 331165487 993496461 3642820357 10928461071 14789366017 44368098051 162683026187 488049078561 606364006697 1819092020091 6670004073667 20010012221001