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2111121220221 = 35131601417419
BaseRepresentation
bin11110101110001000101…
…000010110001001111101
321110211011200000201100000
4132232020220112021331
5234042034013021341
64253500302224513
7305344360202106
oct36561050261175
97424150021300
102111121220221
1174435998a282
122a1196285139
131241021318a0
14742709373ad
1539dad74d8b6
hex1eb88a1627d

2111121220221 has 48 divisors (see below), whose sum is σ = 3407730056640. Its totient is φ = 1298336947200.

The previous prime is 2111121220193. The next prime is 2111121220297. The reversal of 2111121220221 is 1220221211112.

2111121220221 is a `hidden beast` number, since 211 + 1 + 1 + 212 + 20 + 221 = 666.

It is not a de Polignac number, because 2111121220221 - 27 = 2111121220093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111121220194 and 2111121220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111121224221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4848850 + ... + 5266268.

It is an arithmetic number, because the mean of its divisors is an integer number (70994376180).

Almost surely, 22111121220221 is an apocalyptic number.

It is an amenable number.

2111121220221 is a deficient number, since it is larger than the sum of its proper divisors (1296608836419).

2111121220221 is a wasteful number, since it uses less digits than its factorization.

2111121220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419048 (or 419036 counting only the distinct ones).

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

Adding to 2111121220221 its reverse (1220221211112), we get a palindrome (3331342431333).

The spelling of 2111121220221 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 1601 3159 4803 14409 20813 43227 62439 129681 187317 389043 417419 561951 1252257 1685853 3756771 5057559 5426447 11270313 16279341 33810939 48838023 101432817 146514069 439542207 668287819 1318626621 2004863457 6014590371 8687741647 18043771113 26063224941 54131313339 78189674823 162393940017 234569024469 703707073407 2111121220221