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221211112112221 = 71147316719300577
BaseRepresentation
bin110010010011000010111001…
…110000100000000001011101
31002000020120112202012110111111
4302103002321300200001131
5212443310324200042341
62102250552035222021
764410655401415210
oct6223027160400135
91060216482173444
10221211112112221
11645371189098a0
1220988241a47911
13965817007983a
143c8a964101777
151a8931e448681
hexc930b9c2005d

221211112112221 has 32 divisors (see below), whose sum is σ = 281752616927232. Its totient is φ = 168651521180160.

The previous prime is 221211112112147. The next prime is 221211112112233. The reversal of 221211112112221 is 122211211112122.

It is a cyclic number.

It is not a de Polignac number, because 221211112112221 - 211 = 221211112110173 is a prime.

It is a super-2 number, since 2×2212111121122212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221211112112192 and 221211112112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211112110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811085 + ... + 21111661.

It is an arithmetic number, because the mean of its divisors is an integer number (8804769278976).

Almost surely, 2221211112112221 is an apocalyptic number.

It is an amenable number.

221211112112221 is a deficient number, since it is larger than the sum of its proper divisors (60541504815011).

221211112112221 is a wasteful number, since it uses less digits than its factorization.

221211112112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19303809.

The product of its digits is 128, while the sum is 22.

Adding to 221211112112221 its reverse (122211211112122), we get a palindrome (343422323224343).

The spelling of 221211112112221 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 47 77 329 517 3167 3619 22169 34837 148849 243859 1041943 1637339 11461373 19300577 135104039 212306347 907127119 1486144429 6349889833 9978398309 61124927359 69848788163 427874491513 672374200949 2872871585873 4706619406643 20110101101111 31601587444603 221211112112221