Search a number
-
+
133031013441 = 3792395874001
BaseRepresentation
bin111101111100101000…
…1000010110001000001
3110201101011022200101220
41323321101002301001
54134421414412231
6141040312145253
712416426646144
oct1737121026101
9421334280356
10133031013441
11514665a2417
1221947998229
13c710b27401
14661dc6605b
1536d8ed1896
hex1ef9442c41

133031013441 has 32 divisors (see below), whose sum is σ = 180723916800. Its totient is φ = 87028032000.

The previous prime is 133031013421. The next prime is 133031013443. The reversal of 133031013441 is 144310130331.

It is not a de Polignac number, because 133031013441 - 218 = 133030751297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133031013443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33247441 + ... + 33251441.

It is an arithmetic number, because the mean of its divisors is an integer number (5647622400).

Almost surely, 2133031013441 is an apocalyptic number.

It is an amenable number.

133031013441 is a deficient number, since it is larger than the sum of its proper divisors (47692903359).

133031013441 is a wasteful number, since it uses less digits than its factorization.

133031013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133031013441 its reverse (144310130331), we get a palindrome (277341143772).

The spelling of 133031013441 in words is "one hundred thirty-three billion, thirty-one million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 79 237 239 587 717 1761 4001 12003 18881 46373 56643 139119 140293 316079 420879 948237 956239 2348587 2868717 7045761 11083147 33249441 75542881 185538373 226628643 556615119 561312293 1683936879 44343671147 133031013441