Search a number
-
+
104001132411 = 33112142922277
BaseRepresentation
bin110000011011011110…
…0110101011101111011
3100221110000110221002000
41200312330311131323
53200443242214121
6115435533112043
710341150016401
oct1406674653573
9327400427060
10104001132411
1140119a23100
12181a5928623
139a65739707
1450685cb471
152a8a635526
hex1836f3577b

104001132411 has 48 divisors (see below), whose sum is σ = 169482112800. Its totient is φ = 62984053440.

The previous prime is 104001132379. The next prime is 104001132421. The reversal of 104001132411 is 114231100401.

104001132411 is a `hidden beast` number, since 10 + 400 + 1 + 13 + 241 + 1 = 666.

It is not a de Polignac number, because 104001132411 - 25 = 104001132379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104001132421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4657405 + ... + 4679681.

It is an arithmetic number, because the mean of its divisors is an integer number (3530877350).

Almost surely, 2104001132411 is an apocalyptic number.

104001132411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104001132411 is a deficient number, since it is larger than the sum of its proper divisors (65480980389).

104001132411 is a wasteful number, since it uses less digits than its factorization.

104001132411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23737 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104001132411 its reverse (114231100401), we get a palindrome (218232232812).

The spelling of 104001132411 in words is "one hundred four billion, one million, one hundred thirty-two thousand, four hundred eleven".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1429 3267 4287 12861 15719 22277 38583 47157 66831 141471 172909 200493 245047 424413 518727 601479 735141 1556181 2205423 2695517 4668543 6616269 8086551 24259653 31833833 72778959 95501499 286504497 350172163 859513491 1050516489 3151549467 3851893793 9454648401 11555681379 34667044137 104001132411