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312141203242319 = 11210968233468677
BaseRepresentation
bin100011011111001000000100…
…1100010011111110101001111
31111221012102000010211121120002
41012332100021202133311033
5311403110141012223234
63023511404505514515
7122514313000323023
oct10676201142376517
91457172003747502
10312141203242319
11905043827a9200
122b0130814a2a3b
1310522a34a44899
145711a01778383
152614797e2c27e
hex11be40989fd4f

312141203242319 has 24 divisors (see below), whose sum is σ = 346295884371360. Its totient is φ = 281120095143360.

The previous prime is 312141203242283. The next prime is 312141203242343. The reversal of 312141203242319 is 913242302141213.

It is not a de Polignac number, because 312141203242319 - 212 = 312141203238223 is a prime.

It is a super-2 number, since 2×3121412032423192 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141203242369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88254209 + ... + 91722885.

It is an arithmetic number, because the mean of its divisors is an integer number (14428995182140).

Almost surely, 2312141203242319 is an apocalyptic number.

312141203242319 is a deficient number, since it is larger than the sum of its proper divisors (34154681129041).

312141203242319 is a wasteful number, since it uses less digits than its factorization.

312141203242319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475631 (or 3475620 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 312141203242319 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred three million, two hundred forty-two thousand, three hundred nineteen".

Divisors: 1 11 109 121 1199 6823 13189 75053 743707 825583 3468677 8180777 38155447 89988547 378085793 419709917 4158943723 23666783171 45748380953 260334614881 2579679365639 2863680763691 28376473022029 312141203242319