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312341323143213 = 327133710307273971
BaseRepresentation
bin100011100000100101010000…
…1100111010101100000101101
31111221220112112211201220011100
41013001022201213111200231
5311414400012211040323
63024143342321513313
7122534626105366230
oct10701124147254055
91457815484656140
10312341323143213
1190581236213751
122b045a111a2839
1310538877b54820
14571b58774b417
152619aabb87943
hex11c12a19d582d

312341323143213 has 48 divisors (see below), whose sum is σ = 570280854322816. Its totient is φ = 160298724781440.

The previous prime is 312341323143173. The next prime is 312341323143263.

312341323143213 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 1 + 323 + 1 + 4 + 321 + 3 = 666.

312341323143213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312341323143213 - 241 = 310142299887661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312341323143263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5153606683 + ... + 5153667288.

Almost surely, 2312341323143213 is an apocalyptic number.

It is an amenable number.

312341323143213 is a deficient number, since it is larger than the sum of its proper divisors (257939531179603).

312341323143213 is a wasteful number, since it uses less digits than its factorization.

312341323143213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307274034 (or 10307274031 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 312341323143213 in words is "three hundred twelve trillion, three hundred forty-one billion, three hundred twenty-three million, one hundred forty-three thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 10307273971 30921821913 72150917797 92765465739 133994561623 216452753391 381369136927 401983684869 649358260173 937961931361 1144107410781 1205951054607 2669583958489 2813885794083 3432322232343 4957798780051 8008751875467 8441657382249 14873396340153 24026255626401 34704591460357 44620189020459 104113774381071 312341323143213