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313103520342504 = 23345310009910849
BaseRepresentation
bin100011100110001000001100…
…0000110111010000111101000
31112001121101220200020101110000
41013030100120012322013220
5312014342002201430004
63025525434353023000
7122643661054603263
oct10714203006720750
91461541820211400
10313103520342504
1190845503706791
122b149687554a60
13105926c600c568
145746411253cda
15262e81b309c39
hex11cc4181ba1e8

313103520342504 has 160 divisors (see below), whose sum is σ = 893616809085000. Its totient is φ = 102388292517888.

The previous prime is 313103520342479. The next prime is 313103520342521. The reversal of 313103520342504 is 405243025301313.

313103520342504 is a `hidden beast` number, since 3 + 1 + 3 + 103 + 5 + 2 + 0 + 3 + 42 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312959805048900 + 143715293604 = 17690670^2 + 379098^2 .

It is a super-2 number, since 2×3131035203425042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343293672 + ... + 344204520.

Almost surely, 2313103520342504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313103520342504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446808404542500).

313103520342504 is an abundant number, since it is smaller than the sum of its proper divisors (580513288742496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313103520342504 is a wasteful number, since it uses less digits than its factorization.

313103520342504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920929 (or 920916 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 313103520342504 its reverse (405243025301313), we get a palindrome (718346545643817).

The spelling of 313103520342504 in words is "three hundred thirteen trillion, one hundred three billion, five hundred twenty million, three hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 10009 11448 17172 20018 30027 34344 40036 60054 80072 90081 120108 180162 240216 270243 360324 530477 540486 720648 810729 910849 1060954 1080972 1591431 1621458 1821698 2121908 2161944 2732547 3182862 3242916 3643396 4243816 4774293 5465094 6365724 6485832 7286792 8197641 9548586 10930188 12731448 14322879 16395282 19097172 21860376 24592923 28645758 32790564 38194344 42968637 48274997 49185846 57291516 65581128 73778769 85937274 96549994 98371692 114583032 144824991 147557538 171874548 193099988 196743384 289649982 295115076 343749096 386199976 434474973 579299964 590230152 868949946 1158599928 1303424919 1737899892 2606849838 3475799784 3910274757 5213699676 7820549514 9116687641 10427399352 15641099028 18233375282 27350062923 31282198056 36466750564 54700125846 72933501128 82050188769 109400251692 164100377538 218800503384 246150566307 328200755076 483184444973 492301132614 656401510152 738451698921 966368889946 984602265228 1449553334919 1476903397842 1932737779892 1969204530456 2899106669838 2953806795684 3865475559784 4348660004757 5798213339676 5907613591368 8697320009514 11596426679352 13045980014271 17394640019028 26091960028542 34789280038056 39137940042813 52183920057084 78275880085626 104367840114168 156551760171252 313103520342504