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221121213123132 = 223371915394125113
BaseRepresentation
bin110010010001101111001011…
…010111000100101000111100
31001222220222111112101122022000
4302101233023113010220330
5212440322221024420012
62102141403304022300
764401323536544130
oct6221571327045074
91058828445348260
10221121213123132
1164501a8620a7a3
1220972932a61990
13964c84416323a
143c864767b93c0
151a86d0bdc0ddc
hexc91bcb5c4a3c

221121213123132 has 96 divisors (see below), whose sum is σ = 689656805107200. Its totient is φ = 59852358435456.

The previous prime is 221121213122981. The next prime is 221121213123197. The reversal of 221121213123132 is 231321312121122.

221121213123132 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 212 + 1 + 312 + 3 + 132 = 666.

221121213123132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221121213123096 and 221121213123105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7697048193 + ... + 7697076920.

It is an arithmetic number, because the mean of its divisors is an integer number (7183925053200).

Almost surely, 2221121213123132 is an apocalyptic number.

It is an amenable number.

221121213123132 is an abundant number, since it is smaller than the sum of its proper divisors (468535591984068).

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

221121213123132 is a wasteful number, since it uses less digits than its factorization.

221121213123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394125152 (or 15394125144 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 221121213123132 its reverse (231321312121122), we get a palindrome (452442525244254).

The spelling of 221121213123132 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 15394125113 30788250226 46182375339 61576500452 92364750678 107758875791 138547126017 184729501356 215517751582 277094252034 292488377147 323276627373 415641378051 431035503164 554188504068 584976754294 646553254746 831282756102 877465131441 969829882119 1169953508588 1293106509492 1662565512204 1754930262882 1939659764238 2047418640029 2632395394323 2909489646357 3509860525764 3879319528476 4094837280058 5264790788646 5818979292714 6142255920087 7897186182969 8189674560116 10529581577292 11637958585428 12284511840174 15794372365938 18426767760261 24569023680348 31588744731876 36853535520522 55280303280783 73707071041044 110560606561566 221121213123132