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221311112121 = 3211171131163699
BaseRepresentation
bin1100111000011100101…
…0111001001110111001
3210011020112220100110100
43032013022321032321
512111221121041441
6245400253110013
721663203262141
oct3160712711671
9704215810410
10221311112121
1185948398160
1236a84788309
1317b3c5228a8
14a9d657b921
155b54377cb6
hex33872b93b9

221311112121 has 48 divisors (see below), whose sum is σ = 372514334400. Its totient is φ = 125120808960.

The previous prime is 221311112083. The next prime is 221311112131. The reversal of 221311112121 is 121211113122.

It is a happy number.

221311112121 is a `hidden beast` number, since 221 + 311 + 1 + 12 + 121 = 666.

It is not a de Polignac number, because 221311112121 - 222 = 221306917817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221311112094 and 221311112103.

It is not an unprimeable number, because it can be changed into a prime (221311112131) 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, 391671 + ... + 772028.

It is an arithmetic number, because the mean of its divisors is an integer number (7760715300).

Almost surely, 2221311112121 is an apocalyptic number.

It is an amenable number.

221311112121 is a deficient number, since it is larger than the sum of its proper divisors (151203222279).

221311112121 is a wasteful number, since it uses less digits than its factorization.

221311112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163846 (or 1163843 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 221311112121 its reverse (121211113122), we get a palindrome (342522225243).

The spelling of 221311112121 in words is "two hundred twenty-one billion, three hundred eleven million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 113 153 187 339 561 1017 1243 1683 1921 3729 5763 11187 17289 21131 63393 190179 1163699 3491097 10473291 12800689 19782883 38402067 59348649 115206201 131497987 178045947 217611713 394493961 652835139 1183481883 1446477857 1958505417 2235465779 4339433571 6706397337 13018300713 20119192011 24590123569 73770370707 221311112121