Search a number
-
+
2232105102441 = 324323092497927
BaseRepresentation
bin100000011110110011110…
…101001110110001101001
321220101110020112201111200
4200132303311032301221
5243032322401234231
64425225342514413
7320156434215564
oct40366365166151
97811406481450
102232105102441
117906a31596a5
1230071b595a09
13132643101a86
147a06a7d34db
153d0dec9ebe6
hex207b3d4ec69

2232105102441 has 24 divisors (see below), whose sum is σ = 3300562224960. Its totient is φ = 1452833728416.

The previous prime is 2232105102377. The next prime is 2232105102481. The reversal of 2232105102441 is 1442015012322.

2232105102441 is a `hidden beast` number, since 2 + 2 + 3 + 210 + 5 + 1 + 0 + 2 + 441 = 666.

It is not a de Polignac number, because 2232105102441 - 26 = 2232105102377 is a prime.

It is a super-3 number, since 3×22321051024413 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232105102481) 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, 355381 + ... + 2142546.

It is an arithmetic number, because the mean of its divisors is an integer number (137523426040).

Almost surely, 22232105102441 is an apocalyptic number.

It is an amenable number.

2232105102441 is a deficient number, since it is larger than the sum of its proper divisors (1068457122519).

2232105102441 is a wasteful number, since it uses less digits than its factorization.

2232105102441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500285 (or 2500282 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2232105102441 in words is "two trillion, two hundred thirty-two billion, one hundred five million, one hundred two thousand, four hundred forty-one".

Divisors: 1 3 9 43 129 387 2309 6927 20781 99287 297861 893583 2497927 7493781 22481343 107410861 322232583 966697749 5767713443 17303140329 51909420987 248011678049 744035034147 2232105102441