Search a number
-
+
221121021211110 = 232514876316515533
BaseRepresentation
bin110010010001101110111111…
…111010111111000111100110
31001222220222000011021111111100
4302101232333322333013212
5212440321322412223420
62102141332250420530
764401316016403636
oct6221567772770746
91058828004244440
10221121021211110
1164501997951419
122097289a731746
13964c81347b427
143c864591006c6
151a86cea113190
hexc91bbfebf1e6

221121021211110 has 48 divisors (see below), whose sum is σ = 574918554594384. Its totient is φ = 58965205713216.

The previous prime is 221121021211091. The next prime is 221121021211157. The reversal of 221121021211110 is 11112120121122.

It is a happy number.

221121021211110 is a `hidden beast` number, since 2 + 211 + 210 + 21 + 211 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5130904 + ... + 21646436.

It is an arithmetic number, because the mean of its divisors is an integer number (11977469887383).

Almost surely, 2221121021211110 is an apocalyptic number.

221121021211110 is an abundant number, since it is smaller than the sum of its proper divisors (353797533383274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221121021211110 is a wasteful number, since it uses less digits than its factorization.

221121021211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664309 (or 16664306 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221121021211110 its reverse (11112120121122), we get a palindrome (232233141332232).

The spelling of 221121021211110 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty-one million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 148763 297526 446289 743815 892578 1338867 1487630 2231445 2677734 4462890 6694335 13388670 16515533 33031066 49546599 82577665 99093198 148639797 165155330 247732995 297279594 495465990 743198985 1486397970 2456900235679 4913800471358 7370700707037 12284501178395 14741401414074 22112102121111 24569002356790 36853503535185 44224204242222 73707007070370 110560510605555 221121021211110