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13102101213320 = 2357244315089719
BaseRepresentation
bin1011111010101001001000…
…0101101011000010001000
31201101112210221221120022202
42332222102011223002020
53204131100402311240
643511004443535332
72521411165526300
oct276522205530210
951345727846282
1013102101213320
1141a162a622529
12157733722a548
137406a48bc042
1433420616a600
1517ac380c8315
hexbea9216b088

13102101213320 has 96 divisors (see below), whose sum is σ = 34370157038400. Its totient is φ = 4482008399232.

The previous prime is 13102101213319. The next prime is 13102101213329. The reversal of 13102101213320 is 2331210120131.

It is a happy number.

It is a super-2 number, since 2×131021012133202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13102101213292 and 13102101213301.

It is not an unprimeable number, because it can be changed into a prime (13102101213329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6676580 + ... + 8413139.

It is an arithmetic number, because the mean of its divisors is an integer number (358022469150).

Almost surely, 213102101213320 is an apocalyptic number.

13102101213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102101213320 is an abundant number, since it is smaller than the sum of its proper divisors (21268055825080).

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

13102101213320 is a wasteful number, since it uses less digits than its factorization.

13102101213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090187 (or 15090176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13102101213320 its reverse (2331210120131), we get a palindrome (15433311333451).

The spelling of 13102101213320 in words is "thirteen trillion, one hundred two billion, one hundred one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 443 490 886 980 1772 1960 2215 3101 3544 4430 6202 8860 12404 15505 17720 21707 24808 31010 43414 62020 86828 108535 124040 173656 217070 434140 868280 15089719 30179438 60358876 75448595 105628033 120717752 150897190 211256066 301794380 422512132 528140165 603588760 739396231 845024264 1056280330 1478792462 2112560660 2957584924 3696981155 4225121320 5915169848 6684745517 7393962310 13369491034 14787924620 26738982068 29575849240 33423727585 46793218619 53477964136 66847455170 93586437238 133694910340 187172874476 233966093095 267389820680 327552530333 374345748952 467932186190 655105060666 935864372380 1310210121332 1637762651665 1871728744760 2620420242664 3275525303330 6551050606660 13102101213320