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301231303112133 = 37199762190821
BaseRepresentation
bin100010001111101111110000…
…0110100010011010111000101
31110111120102122102222120000000
41010133133200310103113011
5303440333202044042013
62544355430015111513
7120310146335313522
oct10437374064232705
91414512572876000
10301231303112133
1187a88529583019
1229950789b12599
13cc10cb403c284
14545595c49a149
1524c5ab677a973
hex111f7e0d135c5

301231303112133 has 64 divisors (see below), whose sum is σ = 454112906304000. Its totient is φ = 199783300305600.

The previous prime is 301231303112071. The next prime is 301231303112143. The reversal of 301231303112133 is 331211303132103.

301231303112133 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 3 + 130 + 311 + 213 + 3 = 666.

It is not a de Polignac number, because 301231303112133 - 28 = 301231303111877 is a prime.

It is a super-2 number, since 2×3012313031121332 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 301231303112097 and 301231303112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301231303112143) 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, 3316712863 + ... + 3316803683.

It is an arithmetic number, because the mean of its divisors is an integer number (7095514161000).

Almost surely, 2301231303112133 is an apocalyptic number.

It is an amenable number.

301231303112133 is a deficient number, since it is larger than the sum of its proper divisors (152881603191867).

301231303112133 is an frugal number, since it uses more digits than its factorization.

301231303112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98662 (or 98644 counting only the distinct ones).

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

Adding to 301231303112133 its reverse (331211303132103), we get a palindrome (632442606244236).

The spelling of 301231303112133 in words is "three hundred one trillion, two hundred thirty-one billion, three hundred three million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 199 243 597 729 1791 2187 5373 7621 16119 22863 48357 68589 90821 145071 205767 272463 435213 617301 817389 1516579 1851903 2452167 4549737 5555709 7356501 13649211 16667127 18073379 22069503 40947633 54220137 66208509 122842899 162660411 198625527 368528697 487981233 692146841 1105586091 1463943699 2076440523 3316758273 4391831097 6229321569 13175493291 18687964707 39526479873 56063894121 137737221359 168191682363 413211664077 504575047089 1239634992231 1513725141267 3718904976693 11156714930079 33470144790237 100410434370711 301231303112133