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121441403134233 = 327133719141209371
BaseRepresentation
bin11011100111001101000111…
…101100011110000100011001
3120220222200111012001222020100
4123213031013230132010121
5111404143443200243413
61110141224352250013
734402565115523320
oct3347150754360431
9526880435058210
10121441403134233
113577101210a006
12117541a8240909
13529bb4b9c1330
1421dbb1c3330b7
15e08e82560a73
hex6e7347b1e119

121441403134233 has 96 divisors (see below), whose sum is σ = 221743493334272. Its totient is φ = 62322179673600.

The previous prime is 121441403134231. The next prime is 121441403134397. The reversal of 121441403134233 is 332431304144121.

121441403134233 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 1 + 403 + 13 + 4 + 233 = 666.

It is not a de Polignac number, because 121441403134233 - 21 = 121441403134231 is a prime.

It is a super-2 number, since 2×1214414031342332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121441403134231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579925038 + ... + 580134408.

Almost surely, 2121441403134233 is an apocalyptic number.

121441403134233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121441403134233 is a deficient number, since it is larger than the sum of its proper divisors (100302090200039).

121441403134233 is a wasteful number, since it uses less digits than its factorization.

121441403134233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228575 (or 228572 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 121441403134233 its reverse (332431304144121), we get a palindrome (453872707278354).

The spelling of 121441403134233 in words is "one hundred twenty-one trillion, four hundred forty-one billion, four hundred three million, one hundred thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 19141 30303 57423 133987 172269 209371 248833 401961 628113 708217 746499 1205883 1465597 1741831 1884339 2124651 2239497 2721823 4396791 4957519 5225493 6373953 7746727 8165469 9206821 13190373 14872557 15676479 19052761 23240181 24496407 27620463 44617671 54227089 57158283 64447747 69720543 82861389 100707451 162681267 171474849 193343241 302122353 488043801 580029723 704952157 906367059 2114856471 4007570311 6344569413 12022710933 28052992177 36068132799 52098414043 84158976531 148280101507 156295242129 252476929593 364688898301 444840304521 468885726387 1037960710549 1094066694903 1334520913563 1927641319591 3113882131647 3282200084709 5782923958773 9341646394941 13493489237137 17348771876319 40480467711411 121441403134233