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201001222000121 = 9715329135180217
BaseRepresentation
bin101101101100111100111110…
…011011111100110111111001
3222100200112021202110112002012
4231230330332123330313321
5202321201000313000441
61551254404151415305
760223600442021234
oct5554747633746771
9870615252415065
10201001222000121
1159055159800aa4
121a663472684535
1388204457827ca
14378c72248641b
151838782c399eb
hexb6cf3e6fcdf9

201001222000121 has 8 divisors (see below), whose sum is σ = 203086648710120. Its totient is φ = 198916065681408.

The previous prime is 201001222000087. The next prime is 201001222000147. The reversal of 201001222000121 is 121000222100102.

It can be written as a sum of positive squares in 4 ways, for example, as 8362478322025 + 192638743678096 = 2891795^2 + 13879436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201001222000121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201001222000096 and 201001222000105.

It is not an unprimeable number, because it can be changed into a prime (201001222000021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66103196 + ... + 69077021.

It is an arithmetic number, because the mean of its divisors is an integer number (25385831088765).

Almost surely, 2201001222000121 is an apocalyptic number.

It is an amenable number.

201001222000121 is a deficient number, since it is larger than the sum of its proper divisors (2085426709999).

201001222000121 is a wasteful number, since it uses less digits than its factorization.

201001222000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135195643.

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

Adding to 201001222000121 its reverse (121000222100102), we get a palindrome (322001444100223).

The spelling of 201001222000121 in words is "two hundred one trillion, one billion, two hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 97 15329 1486913 135180217 13112481049 2072177546393 201001222000121