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21112201221201 = 353117915657143
BaseRepresentation
bin1001100110011100100010…
…10000010001010001010001
32202202022021121021112100000
410303032101100101101101
510231400242003034301
6112522451130120213
74306210012304616
oct463162120212121
982668247245300
1021112201221201
1167aa6a8217112
12244b829580069
13ba1b44b1790c
1452db9bd6250d
1526929baa3786
hex133391411451

21112201221201 has 48 divisors (see below), whose sum is σ = 32827394396160. Its totient is φ = 13544680401360.

The previous prime is 21112201221187. The next prime is 21112201221239. The reversal of 21112201221201 is 10212210221112.

21112201221201 is a `hidden beast` number, since 21 + 1 + 1 + 220 + 1 + 221 + 201 = 666.

It is not a de Polignac number, because 21112201221201 - 29 = 21112201220689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21112201221271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6480165 + ... + 9176978.

It is an arithmetic number, because the mean of its divisors is an integer number (683904049920).

Almost surely, 221112201221201 is an apocalyptic number.

It is an amenable number.

21112201221201 is a deficient number, since it is larger than the sum of its proper divisors (11715193174959).

21112201221201 is a wasteful number, since it uses less digits than its factorization.

21112201221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657368 (or 15657356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112201221201 its reverse (10212210221112), we get a palindrome (31324411442313).

The spelling of 21112201221201 in words is "twenty-one trillion, one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 31 81 93 179 243 279 537 837 1611 2511 4833 5549 7533 14499 16647 43497 49941 149823 449469 1348407 15657143 46971429 140914287 422742861 485371433 1268228583 1456114299 2802628597 3804685749 4368342897 8407885791 13105028691 25223657373 39315086073 75670972119 86881486507 117945258219 227012916357 260644459521 681038749071 781933378563 2345800135689 7037400407067 21112201221201