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311212343212113 = 374147271108726107
BaseRepresentation
bin100011011000010111100010…
…1001010101011100001010001
31111210220121110021211002112010
41012300233011022223201101
5311242400334330241423
63021520550551453133
7122360230661330520
oct10660570512534121
91453817407732463
10311212343212113
11901864604aa582
122aaa30540871a9
131048627612a235
1456bca874cc4b7
1525ea531e05693
hex11b0bc52ab851

311212343212113 has 128 divisors (see below), whose sum is σ = 498438877741056. Its totient is φ = 169018013145600.

The previous prime is 311212343212109. The next prime is 311212343212139.

311212343212113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311212343212113 - 22 = 311212343212109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311212343212013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11920634406 + ... + 11920660512.

It is an arithmetic number, because the mean of its divisors is an integer number (3894053732352).

Almost surely, 2311212343212113 is an apocalyptic number.

It is an amenable number.

311212343212113 is a deficient number, since it is larger than the sum of its proper divisors (187226534528943).

311212343212113 is a wasteful number, since it uses less digits than its factorization.

311212343212113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27563.

The product of its digits is 5184, while the sum is 30.

The spelling of 311212343212113 in words is "three hundred eleven trillion, two hundred twelve billion, three hundred forty-three million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 21 41 47 123 141 271 287 329 813 861 987 1087 1897 1927 3261 5691 5781 7609 11111 12737 13489 22827 26107 33333 38211 40467 44567 51089 77777 78321 89159 133701 153267 182749 233331 267477 294577 311969 357623 522217 548247 883731 935907 1070387 1072869 1227029 1566651 2062039 2094649 3211161 3655519 3681087 6186117 6283947 7074997 7492709 8589203 10966557 12077657 13845119 14662543 21224991 22478127 25767609 28378309 36232971 41535357 43987629 49524979 50308189 84543599 85134927 96915833 148574937 150924567 198648163 253630797 290074877 290747499 332524859 352157323 567649879 595944489 870224631 997574577 1056471969 1163510669 1333780523 1702949637 2030524139 2327674013 3490532007 3973549153 4001341569 6091572417 6983022039 7690521739 8144574683 9336463661 11920647459 13633519219 23071565217 24433724049 28009390983 40900557657 53833652173 54685001443 95434634533 161500956519 164055004329 286303903599 315311391299 361454521733 382795010101 945934173897 1084363565199 1148385030303 2207179739093 2530181652131 6621539217279 7590544956393 14819635391053 44458906173159 103737447737371 311212343212113