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201122001120020 = 22510056100056001
BaseRepresentation
bin101101101110101101011101…
…011011101110101100010100
3222101010002001001200112011012
4231232231131123232230110
5202330140324241320040
61551430101035231352
760235404451424231
oct5556553533565424
9871102031615135
10201122001120020
11590a13a8435462
121a68295b2a8558
13882b9531bbb66
1437944dd080788
15183b9a12e0865
hexb6eb5d6eeb14

201122001120020 has 12 divisors (see below), whose sum is σ = 422356202352084. Its totient is φ = 80448800448000.

The previous prime is 201122001119993. The next prime is 201122001120031. The reversal of 201122001120020 is 20021100221102.

It can be written as a sum of positive squares in 2 ways, for example, as 29999917019524 + 171122084100496 = 5477218^2 + 13081364^2 .

It is a super-2 number, since 2×2011220011200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201122001119977 and 201122001120004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5028050027981 + ... + 5028050028020.

It is an arithmetic number, because the mean of its divisors is an integer number (35196350196007).

Almost surely, 2201122001120020 is an apocalyptic number.

201122001120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122001120020 is an abundant number, since it is smaller than the sum of its proper divisors (221234201232064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201122001120020 is a wasteful number, since it uses less digits than its factorization.

201122001120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056100056010 (or 10056100056008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201122001120020 its reverse (20021100221102), we get a palindrome (221143101341122).

The spelling of 201122001120020 in words is "two hundred one trillion, one hundred twenty-two billion, one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 10056100056001 20112200112002 40224400224004 50280500280005 100561000560010 201122001120020