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221121020121122 = 21125937341519663
BaseRepresentation
bin110010010001101110111111…
…110110110101000000100010
31001222220222000002020010022102
4302101232333312311000202
5212440321322122333442
62102141332211210402
764401316004214062
oct6221567766650042
91058828002203272
10221121020121122
1164501997277500
122097289a2a6a02
13964c813189274
143c86458cd93a2
151a86ce9e9a232
hexc91bbfdb5022

221121020121122 has 48 divisors (see below), whose sum is σ = 371748802803840. Its totient is φ = 98541105004320.

The previous prime is 221121020121121. The next prime is 221121020121137.

221121020121122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221121020121094 and 221121020121103.

It is not an unprimeable number, because it can be changed into a prime (221121020121121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15434138 + ... + 26085525.

It is an arithmetic number, because the mean of its divisors is an integer number (7744766725080).

Almost surely, 2221121020121122 is an apocalyptic number.

221121020121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221121020121122 is a deficient number, since it is larger than the sum of its proper divisors (150627782682718).

221121020121122 is a wasteful number, since it uses less digits than its factorization.

221121020121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41520119 (or 41520108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 221121020121122 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 11 22 59 118 121 242 373 649 746 1298 4103 7139 8206 14278 22007 44014 45133 90266 242077 484154 2662847 5325694 41519663 83039326 456716293 913432586 2449660117 4899320234 5023879223 10047758446 15486834299 26946261287 30973668598 53892522574 170355177289 296408874157 340710354578 592817748314 913723223641 1827446447282 1873906950179 3747813900358 10050955460051 20101910920102 110560510060561 221121020121122