Search a number
-
+
301231120331133 = 32251263293506459
BaseRepresentation
bin100010001111101111101010…
…1111011000011000101111101
31110111120102011201001022121100
41010133133111323003011331
5303440332313301044013
62544355355525323313
7120310141655563356
oct10437372573030575
91414512151038540
10301231120331133
1187a88445390a43
1229950738866539
13cc10c85203635
1454559420bad2d
1524c5aa56c3473
hex111f7d5ec317d

301231120331133 has 24 divisors (see below), whose sum is σ = 436847652390240. Its totient is φ = 200019509604000.

The previous prime is 301231120331081. The next prime is 301231120331149. The reversal of 301231120331133 is 331133021132103.

301231120331133 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 311 + 2 + 0 + 3 + 311 + 33 = 666.

It is not a de Polignac number, because 301231120331133 - 26 = 301231120331069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 301231120331097 and 301231120331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301231120331153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594525658 + ... + 595032116.

It is an arithmetic number, because the mean of its divisors is an integer number (18201985516260).

Almost surely, 2301231120331133 is an apocalyptic number.

It is an amenable number.

301231120331133 is a deficient number, since it is larger than the sum of its proper divisors (135616532059107).

301231120331133 is a wasteful number, since it uses less digits than its factorization.

301231120331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770009 (or 770006 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 301231120331133 its reverse (331133021132103), we get a palindrome (632364141463236).

The spelling of 301231120331133 in words is "three hundred one trillion, two hundred thirty-one billion, one hundred twenty million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 251 753 2259 263293 506459 789879 1519377 2369637 4558131 66086543 127121209 198259629 381363627 594778887 1144090881 133347109487 400041328461 1200123985383 33470124481237 100410373443711 301231120331133