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310213020312013 = 71338370112697021
BaseRepresentation
bin100011010001000110001100…
…0111000010110000111001101
31111200101002000202110220111011
41012202030120320112013031
5311130012231144441023
63015433521045525221
7122225102554664620
oct10642143070260715
91450332022426434
10310213020312013
118a93066a802885
122a961440a13811
1310412c68213630
145686566d7bdb7
1525ce544d3b50d
hex11a2318e161cd

310213020312013 has 32 divisors (see below), whose sum is σ = 383343612567552. Its totient is φ = 244453186656000.

The previous prime is 310213020311947. The next prime is 310213020312067.

310213020312013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310213020312013 - 29 = 310213020311501 is a prime.

It is a super-2 number, since 2×3102130203120132 (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 (310213020312113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18083443 + ... + 30780463.

It is an arithmetic number, because the mean of its divisors is an integer number (11979487892736).

Almost surely, 2310213020312013 is an apocalyptic number.

It is an amenable number.

310213020312013 is a deficient number, since it is larger than the sum of its proper divisors (73130592255539).

310213020312013 is a wasteful number, since it uses less digits than its factorization.

310213020312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12698125.

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 310213020312013 in words is "three hundred ten trillion, two hundred thirteen billion, twenty million, three hundred twelve thousand, thirteen".

Divisors: 1 7 13 91 383 701 2681 4907 4979 9113 34853 63791 268483 1879381 3490279 12697021 24431953 88879147 165061273 1155428911 4862959043 8900611721 34040713301 62304282047 63218467559 115707952373 442529272913 809955666611 3408934289143 23862540024001 44316145758859 310213020312013