Search a number
-
+
13321030312032 = 253198982058387
BaseRepresentation
bin1100000111011000101101…
…0001111010000001100000
31202011110220111200002200020
43001312023101322001200
53221222432224441112
644155332530153440
72543261356260102
oct301661321720140
952143814602606
1013321030312032
114276465372763
1215b1856122880
13758224782b31
14340a5420b572
1518179d27e48c
hexc1d8b47a060

13321030312032 has 96 divisors (see below), whose sum is σ = 37221684796800. Its totient is φ = 4159375469568.

The previous prime is 13321030311959. The next prime is 13321030312043. The reversal of 13321030312032 is 23021303012331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13321030311993 and 13321030312011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40866858 + ... + 41191529.

It is an arithmetic number, because the mean of its divisors is an integer number (387725883300).

Almost surely, 213321030312032 is an apocalyptic number.

13321030312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13321030312032 is an abundant number, since it is smaller than the sum of its proper divisors (23900654484768).

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

13321030312032 is a wasteful number, since it uses less digits than its factorization.

13321030312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82058508 (or 82058500 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13321030312032 its reverse (23021303012331), we get a palindrome (36342333324363).

The spelling of 13321030312032 in words is "thirteen trillion, three hundred twenty-one billion, thirty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 89 96 114 152 178 228 267 304 356 456 534 608 712 912 1068 1424 1691 1824 2136 2848 3382 4272 5073 6764 8544 10146 13528 20292 27056 40584 54112 81168 162336 82058387 164116774 246175161 328233548 492350322 656467096 984700644 1312934192 1559109353 1969401288 2625868384 3118218706 3938802576 4677328059 6236437412 7303196443 7877605152 9354656118 12472874824 14606392886 18709312236 21909589329 24945749648 29212785772 37418624472 43819178658 49891499296 58425571544 74837248944 87638357316 116851143088 138760732417 149674497888 175276714632 233702286176 277521464834 350553429264 416282197251 555042929668 701106858528 832564394502 1110085859336 1665128789004 2220171718672 3330257578008 4440343437344 6660515156016 13321030312032