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1316135213316 = 22327111014700953
BaseRepresentation
bin10011001001101111110…
…001011001100100000100
311122211011201121012211100
4103021233301121210010
5133030421103311231
62444342453140100
7164042025504540
oct23115761314404
94584151535740
101316135213316
1146819601a830
121930ab02a630
1397159ba3041
14479b6476a20
15243807291e6
hex1326fc59904

1316135213316 has 144 divisors (see below), whose sum is σ = 4188888482688. Its totient is φ = 338468544000.

The previous prime is 1316135213249. The next prime is 1316135213321. The reversal of 1316135213316 is 6133125316131.

1316135213316 is a `hidden beast` number, since 1 + 3 + 1 + 613 + 5 + 2 + 1 + 3 + 31 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070505 + ... + 2630448.

It is an arithmetic number, because the mean of its divisors is an integer number (29089503352).

Almost surely, 21316135213316 is an apocalyptic number.

It is an amenable number.

1316135213316 is an abundant number, since it is smaller than the sum of its proper divisors (2872753269372).

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

1316135213316 is a wasteful number, since it uses less digits than its factorization.

1316135213316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701082 (or 4701077 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The spelling of 1316135213316 in words is "one trillion, three hundred sixteen billion, one hundred thirty-five million, two hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 101 126 132 154 198 202 231 252 303 308 396 404 462 606 693 707 909 924 1111 1212 1386 1414 1818 2121 2222 2772 2828 3333 3636 4242 4444 6363 6666 7777 8484 9999 12726 13332 15554 19998 23331 25452 31108 39996 46662 69993 93324 139986 279972 4700953 9401906 14102859 18803812 28205718 32906671 42308577 51710483 56411436 65813342 84617154 98720013 103420966 131626684 155131449 169234308 197440026 206841932 296160039 310262898 361973381 394880052 465394347 474796253 592320078 620525796 723946762 930788694 949592506 1085920143 1184640156 1424388759 1447893524 1861577388 1899185012 2171840286 2848777518 3257760429 3323573771 4273166277 4343680572 5222758783 5697555036 6515520858 6647147542 8546332554 9970721313 10445517566 13031041716 13294295084 15668276349 17092665108 19941442626 20891035132 29912163939 31336552698 36559311481 39882885252 47004829047 59824327878 62673105396 73118622962 94009658094 109677934443 119648655756 146237245924 188019316188 219355868886 329033803329 438711737772 658067606658 1316135213316