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1301112020313 = 3272591572331367
BaseRepresentation
bin10010111011110000010…
…100011101110101011001
311121101101201210221022200
4102323300110131311121
5132304134134122223
62433420030040413
7163000524460200
oct22736024356531
94541351727280
101301112020313
114618868a7546
121901b7949109
13959045c6421
1446d8d136237
1523ca1882a43
hex12ef051dd59

1301112020313 has 144 divisors (see below), whose sum is σ = 2248684364160. Its totient is φ = 722589783552.

The previous prime is 1301112020239. The next prime is 1301112020317. The reversal of 1301112020313 is 3130202111031.

1301112020313 is a `hidden beast` number, since 1 + 301 + 11 + 20 + 20 + 313 = 666.

It is not a de Polignac number, because 1301112020313 - 217 = 1301111889241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1301112020317) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 951800356 + ... + 951801722.

It is an arithmetic number, because the mean of its divisors is an integer number (15615863640).

Almost surely, 21301112020313 is an apocalyptic number.

It is an amenable number.

1301112020313 is a deficient number, since it is larger than the sum of its proper divisors (947572343847).

1301112020313 is a wasteful number, since it uses less digits than its factorization.

1301112020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1301112020313 its reverse (3130202111031), we get a palindrome (4431314131344).

The spelling of 1301112020313 in words is "one trillion, three hundred one billion, one hundred twelve million, twenty thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 59 63 147 157 177 233 413 441 471 531 699 1099 1239 1367 1413 1631 2097 2891 3297 3717 4101 4893 7693 8673 9263 9569 9891 11417 12303 13747 14679 23079 26019 27789 28707 34251 36581 41241 64841 66983 69237 80653 83367 86121 96229 102753 109743 123723 194523 200949 214619 241959 256067 288687 318511 329229 453887 564571 583569 602847 643857 673603 725877 768201 866061 955533 1361661 1502333 1693713 1792469 1931571 2020809 2158279 2229577 2304603 2866599 3951997 4084983 4506999 5081139 5377407 6062427 6474837 6688731 10516331 11855991 12662521 13520997 15107953 15607039 16132221 18792149 19424511 20066193 31548993 35567973 37987563 45323859 46821117 50006227 56376447 88637647 94646979 105755671 113962689 131545043 135971577 140463351 150018681 169129341 265912941 317267013 350043589 394635129 450056043 620463529 797738823 920815301 951801039 1050130767 1183905387 1861390587 2450305123 2762445903 2950367393 3150392301 5584171761 7350915369 8287337709 8851102179 20652571751 22052746107 26553306537 61957715253 144568002257 185873145759 433704006771 1301112020313