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13102103021310 = 23251718147311967
BaseRepresentation
bin1011111010101001001000…
…1100100100011011111110
31201101112211002100102102100
42332222102030210123332
53204131101333140220
643511004550405530
72521411220066352
oct276522214443376
951345732312370
1013102103021310
1141a1630647936
1215773379608a6
137406a50a2c64
143342064bb462
1517ac38333d90
hexbea923246fe

13102103021310 has 96 divisors (see below), whose sum is σ = 36268597677312. Its totient is φ = 3270203089920.

The previous prime is 13102103021299. The next prime is 13102103021351. The reversal of 13102103021310 is 1312030120131.

13102103021310 is a `hidden beast` number, since 1 + 31 + 0 + 21 + 0 + 302 + 1 + 310 = 666.

It is a super-2 number, since 2×131021030213102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23379054 + ... + 23932913.

It is an arithmetic number, because the mean of its divisors is an integer number (377797892472).

Almost surely, 213102103021310 is an apocalyptic number.

13102103021310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13102103021310 is an abundant number, since it is smaller than the sum of its proper divisors (23166494656002).

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

13102103021310 is a wasteful number, since it uses less digits than its factorization.

13102103021310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47312178 (or 47312175 counting only the distinct ones).

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

Adding to 13102103021310 its reverse (1312030120131), we get a palindrome (14414133141441).

The spelling of 13102103021310 in words is "thirteen trillion, one hundred two billion, one hundred three million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 181 255 306 362 510 543 765 905 1086 1530 1629 1810 2715 3077 3258 5430 6154 8145 9231 15385 16290 18462 27693 30770 46155 55386 92310 138465 276930 47311967 94623934 141935901 236559835 283871802 425807703 473119670 709679505 804303439 851615406 1419359010 1608606878 2129038515 2412910317 4021517195 4258077030 4825820634 7238730951 8043034390 8563466027 12064551585 14477461902 17126932054 24129103170 25690398081 36193654755 42817330135 51380796162 72387309510 77071194243 85634660270 128451990405 145578922459 154142388486 256903980810 291157844918 385355971215 436736767377 727894612295 770711942430 873473534754 1310210302131 1455789224590 2183683836885 2620420604262 4367367673770 6551051510655 13102103021310