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201221002120985 = 57113171648744333
BaseRepresentation
bin101101110000001001101010…
…010110100100111100011001
3222101110112120121112110100122
4231300021222112210330121
5202333301103020332420
61551543352514243025
760245511005151140
oct5560115226447431
9871415517473318
10201221002120985
115912a390970820
121a699b8a586475
13883809ca51bc2
143799211574757
15183e347995725
hexb7026a5a4f19

201221002120985 has 32 divisors (see below), whose sum is σ = 301997202170112. Its totient is φ = 125040770138880.

The previous prime is 201221002120939. The next prime is 201221002121011. The reversal of 201221002120985 is 589021200122102.

It is a happy number.

It is not a de Polignac number, because 201221002120985 - 222 = 201220997926681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

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, 824250122 + ... + 824494211.

It is an arithmetic number, because the mean of its divisors is an integer number (9437412567816).

Almost surely, 2201221002120985 is an apocalyptic number.

It is an amenable number.

201221002120985 is a deficient number, since it is larger than the sum of its proper divisors (100776200049127).

201221002120985 is a wasteful number, since it uses less digits than its factorization.

201221002120985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648744673.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 201221002120985 in words is "two hundred one trillion, two hundred twenty-one billion, two million, one hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 5 7 11 35 55 77 317 385 1585 2219 3487 11095 17435 24409 122045 1648744333 8243721665 11541210331 18136187663 57706051655 90680938315 126953313641 522651953561 634766568205 2613259767805 3658563674927 5749171489171 18292818374635 28745857445855 40244200424197 201221002120985