Search a number
-
+
121143233443441 = 11311126033154967
BaseRepresentation
bin11011100010110111011011…
…011001010111011001110001
3120212221011212020012021201011
4123202313123121113121301
5111334302320230142231
61105352233321110521
734342211154132256
oct3342673331273161
9525834766167634
10121143233443441
1135666614099150
1211706453928441
1352799b1135431
1421cb51431742d
15e013308e59b1
hex6e2ddb657671

121143233443441 has 16 divisors (see below), whose sum is σ = 136420614402048. Its totient is φ = 106576644459600.

The previous prime is 121143233443417. The next prime is 121143233443471. The reversal of 121143233443441 is 144344332341121.

It is a cyclic number.

It is not a de Polignac number, because 121143233443441 - 25 = 121143233443409 is a prime.

It is a super-3 number, since 3×1211432334434413 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121143233443394 and 121143233443403.

It is not an unprimeable number, because it can be changed into a prime (121143233443471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36820140 + ... + 39975106.

It is an arithmetic number, because the mean of its divisors is an integer number (8526288400128).

Almost surely, 2121143233443441 is an apocalyptic number.

121143233443441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121143233443441 is a deficient number, since it is larger than the sum of its proper divisors (15277380958607).

121143233443441 is a wasteful number, since it uses less digits than its factorization.

121143233443441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267612.

The product of its digits is 331776, while the sum is 40.

Adding to 121143233443441 its reverse (144344332341121), we get a palindrome (265487565784562).

The spelling of 121143233443441 in words is "one hundred twenty-one trillion, one hundred forty-three billion, two hundred thirty-three million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 11 31 341 112603 1238633 3154967 3490693 34704637 38397623 97803977 1075843747 355258749101 3907846240111 11013021222131 121143233443441