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312043342221 = 34132297111071
BaseRepresentation
bin1001000101001110011…
…10111000100110001101
31002211102211121012110000
410202213032320212031
520103031043422341
6355203431434513
731354503434262
oct4424716704615
91084384535400
10312043342221
11110378371596
1250586825a39
132356bc5a300
1411162803269
1581b4b418b6
hex48a73b898d

312043342221 has 120 divisors (see below), whose sum is σ = 529561359360. Its totient is φ = 182777212800.

The previous prime is 312043342207. The next prime is 312043342249. The reversal of 312043342221 is 122243340213.

312043342221 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 433 + 4 + 2 + 221 = 666.

It is not a de Polignac number, because 312043342221 - 26 = 312043342157 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312043342201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28180116 + ... + 28191186.

It is an arithmetic number, because the mean of its divisors is an integer number (4413011328).

Almost surely, 2312043342221 is an apocalyptic number.

It is an amenable number.

312043342221 is a deficient number, since it is larger than the sum of its proper divisors (217518017139).

312043342221 is a wasteful number, since it uses less digits than its factorization.

312043342221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312043342221 its reverse (122243340213), we get a palindrome (434286682434).

The spelling of 312043342221 in words is "three hundred twelve billion, forty-three million, three hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 29 39 71 81 87 117 169 213 261 351 377 507 639 783 923 1053 1131 1521 1917 2059 2349 2769 3393 4563 4901 5751 6177 8307 10179 11071 11999 13689 14703 18531 24921 26767 30537 33213 35997 44109 55593 74763 80301 99639 107991 132327 143923 166779 240903 298917 321059 323973 347971 396981 431769 722709 786041 896751 963177 971919 1043913 1295307 1870999 2168127 2358123 2889531 3131739 3885921 4173767 5612997 7074369 8668593 9395217 10218533 11657763 12521301 16838991 21223107 22795189 26005779 28185651 30655599 37563903 50516973 54258971 63669321 68385567 91966797 112691709 132840929 151550919 162776913 205156701 275900391 296337457 338075127 398522787 488330739 615470103 827701173 889012371 1195568361 1464992217 1846410309 2667037113 3586705083 3852386941 4394976651 8001111339 10760115249 11557160823 24003334017 34671482469 104014447407 312043342221