Search a number
-
+
130241141433 = 331331106911197
BaseRepresentation
bin111100101001011111…
…0100001101010111001
3110110011201200111111000
41321102332201222321
54113213213011213
6135455411355213
712260332302414
oct1712276415271
9413151614430
10130241141433
1150264802277
12212a95b2b09
13c387b35080
14643751ab7b
1535c40e7c73
hex1e52fa1ab9

130241141433 has 64 divisors (see below), whose sum is σ = 214714931200. Its totient is φ = 77483485440.

The previous prime is 130241141399. The next prime is 130241141483. The reversal of 130241141433 is 334141142031.

130241141433 is a `hidden beast` number, since 1 + 3 + 0 + 241 + 1 + 414 + 3 + 3 = 666.

It is not a de Polignac number, because 130241141433 - 210 = 130241140409 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130241141397 and 130241141406.

It is not an unprimeable number, because it can be changed into a prime (130241141483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11626191 + ... + 11637387.

It is an arithmetic number, because the mean of its divisors is an integer number (3354920800).

Almost surely, 2130241141433 is an apocalyptic number.

130241141433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130241141433 is a deficient number, since it is larger than the sum of its proper divisors (84473789767).

130241141433 is a wasteful number, since it uses less digits than its factorization.

130241141433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130241141433 its reverse (334141142031), we get a palindrome (464382283464).

The spelling of 130241141433 in words is "one hundred thirty billion, two hundred forty-one million, one hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1069 1209 3207 3627 9621 10881 11197 13897 28863 33139 33591 41691 99417 100773 125073 145561 298251 302319 347107 375219 430807 436683 894753 1041321 1292421 1310049 3123963 3877263 3930147 4512391 9371889 11631789 11969593 13537173 35908779 40611519 107726337 121834557 155604709 323179011 371057383 466814127 1113172149 1400442381 3339516447 4201327143 4823745979 10018549341 14471237937 43413713811 130241141433