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313103433210020 = 225173313367378713
BaseRepresentation
bin100011100110001000001001…
…0111010100001100010100100
31112001121101200121021121010222
41013030100102322201202210
5312014341312400210040
63025525422001303512
7122643655646152565
oct10714202272414244
91461541617247128
10313103433210020
1190845469503872
122b149662334b98
13105926b0c5288b
14574640385216c
15262e813847bb5
hex11cc412ea18a4

313103433210020 has 96 divisors (see below), whose sum is σ = 663619778392032. Its totient is φ = 124084246560768.

The previous prime is 313103433210019. The next prime is 313103433210047. The reversal of 313103433210020 is 20012334301313.

It can be written as a sum of positive squares in 16 ways, for example, as 144839106847744 + 168264326362276 = 12034912^2 + 12971674^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3977746184 + ... + 3977824896.

It is an arithmetic number, because the mean of its divisors is an integer number (6912706024917).

Almost surely, 2313103433210020 is an apocalyptic number.

It is an amenable number.

313103433210020 is an abundant number, since it is smaller than the sum of its proper divisors (350516345182012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313103433210020 is a wasteful number, since it uses less digits than its factorization.

313103433210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82881 (or 82879 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 313103433210020 its reverse (20012334301313), we get a palindrome (333115767511333).

The spelling of 313103433210020 in words is "three hundred thirteen trillion, one hundred three billion, four hundred thirty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 173 313 346 626 692 865 1252 1565 1730 3130 3460 3673 6260 7346 14692 18365 36730 54149 73460 78713 108298 157426 216596 270745 314852 393565 541490 635429 787130 1082980 1149649 1270858 1574260 2299298 2541716 3177145 4598596 5748245 6354290 11496490 12708580 13617349 22992980 24637169 27234698 49274338 54469396 68086745 98548676 123185845 136173490 198889277 246371690 272346980 289112849 397778554 492743380 578225698 795557108 994446385 1156451396 1445564245 1988892770 2891128490 3977785540 4262230237 5782256980 8524460474 17048920948 21311151185 42622302370 50016522877 85244604740 90492321737 100033045754 180984643474 200066091508 250082614385 361969286948 452461608685 500165228770 904923217370 1000330457540 1809846434740 15655171660501 31310343321002 62620686642004 78275858302505 156551716605010 313103433210020