Search a number
-
+
313153013234421 = 34671092512109097
BaseRepresentation
bin100011100110011111001111…
…0000111010011101011110101
31112001210010122220211210120000
41013030332132013103223311
5312021144332342000141
63030004301441301513
7122650362411335643
oct10714763607235365
91461703586753500
10313153013234421
11908644a10a7a48
122b15719a634899
13105972829a8a19
14574898849c193
152630c663d05b6
hex11ccf9e1d3af5

313153013234421 has 80 divisors (see below), whose sum is σ = 481043409295680. Its totient is φ = 202954089888000.

The previous prime is 313153013234351. The next prime is 313153013234429. The reversal of 313153013234421 is 124432310351313.

313153013234421 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 5 + 301 + 3 + 2 + 344 + 2 + 1 = 666.

It is not a de Polignac number, because 313153013234421 - 214 = 313153013218037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313153013234429) 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 79 ways as a sum of consecutive naturals, for example, 147422745 + ... + 149531841.

It is an arithmetic number, because the mean of its divisors is an integer number (6013042616196).

Almost surely, 2313153013234421 is an apocalyptic number.

It is an amenable number.

313153013234421 is a deficient number, since it is larger than the sum of its proper divisors (167890396061259).

313153013234421 is a wasteful number, since it uses less digits than its factorization.

313153013234421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109536 (or 2109527 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 313153013234421 its reverse (124432310351313), we get a palindrome (437585323585734).

The spelling of 313153013234421 in words is "three hundred thirteen trillion, one hundred fifty-three billion, thirteen million, two hundred thirty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 27 67 81 109 201 251 327 603 753 981 1809 2259 2943 5427 6777 7303 8829 16817 20331 21909 27359 50451 65727 82077 151353 197181 246231 454059 591543 738693 1362177 1833053 2109097 2216079 5499159 6327291 16497477 18981873 49492431 56945619 141309499 148477293 170836857 229891573 423928497 529383347 689674719 1271785491 1588150041 2069024157 3815356473 4764450123 6207072471 11446069419 14293350369 15402735391 18621217413 35468684249 42880051107 46208206173 57702784823 106406052747 138624618519 173108354469 319218158241 415873855557 519325063407 957654474723 1247621566671 1557975190221 2872963424169 3866086583141 4673925570663 11598259749423 34794779248269 104384337744807 313153013234421