Search a number
-
+
211001101211221 = 172310933714691007
BaseRepresentation
bin101111111110011110000101…
…101011110101011001010101
31000200002111201112102001200121
4233332132011223311121111
5210124020223402224341
62024432322343511541
762305216662610366
oct5776360553653125
91020074645361617
10211001101211221
1161260078934582
121b7b9515a585b1
13909741a898cb9
143a16717531b6d
15195d95226d4d1
hexbfe785af5655

211001101211221 has 32 divisors (see below), whose sum is σ = 235963444654080. Its totient is φ = 187653743456256.

The previous prime is 211001101211209. The next prime is 211001101211269. The reversal of 211001101211221 is 122112101100112.

It is a cyclic number.

It is not a de Polignac number, because 211001101211221 - 227 = 211000966993493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211001101211195 and 211001101211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001101251221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7017100 + ... + 21708106.

It is an arithmetic number, because the mean of its divisors is an integer number (7373857645440).

Almost surely, 2211001101211221 is an apocalyptic number.

It is an amenable number.

211001101211221 is a deficient number, since it is larger than the sum of its proper divisors (24962343442859).

211001101211221 is a wasteful number, since it uses less digits than its factorization.

211001101211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691493.

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

Adding to 211001101211221 its reverse (122112101100112), we get a palindrome (333113202311333).

The spelling of 211001101211221 in words is "two hundred eleven trillion, one billion, one hundred one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 17 23 109 337 391 1853 2507 5729 7751 36733 42619 131767 624461 844859 14362603 14691007 249747119 337893161 1601319763 4950869359 5744183737 27222435971 36830354549 84164779103 113869995257 539644760131 626116027333 1935789919369 9173960922227 12411829483013 211001101211221