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313214222412312 = 233132287438955723
BaseRepresentation
bin100011100110111011101111…
…0011101110010101000011000
31112001222222122200201012112120
41013031313132131302220120
5312023200211414143222
63030052343302341240
7122654660262635424
oct10715673635625030
91461888580635476
10313214222412312
119088845108a281
122b16702142a820
131059cc88ac1990
14574b91378db84
152632649d8315c
hex11cddde772a18

313214222412312 has 64 divisors (see below), whose sum is σ = 843637785070080. Its totient is φ = 96331466927232.

The previous prime is 313214222412293. The next prime is 313214222412317. The reversal of 313214222412312 is 213214222412313.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313214222412317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218764318 + ... + 220191405.

It is an arithmetic number, because the mean of its divisors is an integer number (13181840391720).

Almost surely, 2313214222412312 is an apocalyptic number.

It is an amenable number.

313214222412312 is an abundant number, since it is smaller than the sum of its proper divisors (530423562657768).

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

313214222412312 is a wasteful number, since it uses less digits than its factorization.

313214222412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438958032 (or 438958028 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 313214222412312 its reverse (213214222412313), we get a palindrome (526428444824625).

Subtracting from 313214222412312 its reverse (213214222412313), we obtain a palindrome (99999999999999).

The spelling of 313214222412312 in words is "three hundred thirteen trillion, two hundred fourteen billion, two hundred twenty-two million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 2287 4574 6861 9148 13722 18296 27444 29731 54888 59462 89193 118924 178386 237848 356772 713544 438955723 877911446 1316867169 1755822892 2633734338 3511645784 5267468676 5706424399 10534937352 11412848798 17119273197 22825697596 34238546394 45651395192 68477092788 136954185576 1003891738501 2007783477002 3011675215503 4015566954004 6023350431006 8031133908008 12046700862012 13050592600513 24093401724024 26101185201026 39151777801539 52202370402052 78303555603078 104404740804104 156607111206156 313214222412312