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317312104030164 = 2232131949191358509
BaseRepresentation
bin100100000100101111111101…
…1001111100101111111010100
31112121111202000002221021201100
41020021133323033211333110
5313042320142112431124
63042511100155230100
7123560020512653025
oct11011377317457724
91477452002837640
10317312104030164
11921183424630a1
122b709265748330
1310809531574089
14584ddb867ac4c
1526a40390ce1c9
hex12097fb3e5fd4

317312104030164 has 72 divisors (see below), whose sum is σ = 802866368304000. Its totient is φ = 105668947312704.

The previous prime is 317312104030157. The next prime is 317312104030219. The reversal of 317312104030164 is 461030401213713.

317312104030164 is a `hidden beast` number, since 3 + 1 + 7 + 31 + 210 + 403 + 0 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×3173121040301642 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 232894542 + ... + 234253050.

It is an arithmetic number, because the mean of its divisors is an integer number (11150921782000).

Almost surely, 2317312104030164 is an apocalyptic number.

It is an amenable number.

317312104030164 is an abundant number, since it is smaller than the sum of its proper divisors (485554264273836).

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

317312104030164 is a wasteful number, since it uses less digits than its factorization.

317312104030164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364757 (or 1364752 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 317312104030164 its reverse (461030401213713), we get a palindrome (778342505243877).

The spelling of 317312104030164 in words is "three hundred seventeen trillion, three hundred twelve billion, one hundred four million, thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1319 2638 3957 4919 5276 7914 9838 11871 14757 15828 19676 23742 29514 44271 47484 59028 88542 177084 1358509 2717018 4075527 5434036 6488161 8151054 12226581 12976322 16302108 19464483 24453162 25952644 38928966 48906324 58393449 77857932 116786898 233573796 1791873371 3583746742 5375620113 6682505771 7167493484 10751240226 13365011542 16126860339 20047517313 21502480452 26730023084 32253720678 40095034626 60142551939 64507441356 80190069252 120285103878 240570207756 8814225111949 17628450223898 26442675335847 35256900447796 52885350671694 79328026007541 105770701343388 158656052015082 317312104030164