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312223310120013 = 353199211440910607
BaseRepresentation
bin100011011111101110010011…
…1011111011000010001001101
31111221111020221022102011102020
41012333130213133120101031
5311410431314342320023
63024013224125120353
7122523250454265135
oct10677344737302115
91457436838364366
10312223310120013
1190536186a10716
122b026b769b90b9
131052a6bb504b96
14571599026dac5
1526169a1370de3
hex11bf7277d844d

312223310120013 has 64 divisors (see below), whose sum is σ = 428441674752000. Its totient is φ = 202167356751360.

The previous prime is 312223310119901. The next prime is 312223310120027. The reversal of 312223310120013 is 310021013322213.

It is not a de Polignac number, because 312223310120013 - 28 = 312223310119757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312223310120413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29435585356 + ... + 29435595962.

It is an arithmetic number, because the mean of its divisors is an integer number (6694401168000).

Almost surely, 2312223310120013 is an apocalyptic number.

It is an amenable number.

312223310120013 is a deficient number, since it is larger than the sum of its proper divisors (116218364631987).

312223310120013 is a wasteful number, since it uses less digits than its factorization.

312223310120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15482.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312223310120013 its reverse (310021013322213), we get a palindrome (622244323442226).

The spelling of 312223310120013 in words is "three hundred twelve trillion, two hundred twenty-three billion, three hundred ten million, one hundred twenty thousand, thirteen".

Divisors: 1 3 53 159 199 211 597 633 4409 10547 10607 11183 13227 31641 31821 33549 41989 125967 233677 562171 701031 877391 930299 1686513 2110793 2225417 2238077 2632173 2790897 6332379 6676251 6714231 46501723 46766263 49305847 111872029 118618081 139505169 140298789 147917541 185129501 335616087 355854243 445377323 555388503 1336131969 2478611939 7435835817 9306486337 9811863553 9867681493 23604998119 27919459011 29435590659 29603044479 70814994357 493243775861 522987119129 1479731327583 1568961357387 1963668617107 5891005851321 104074436706671 312223310120013