Search a number
-
+
13213024313244 = 22371924851333139
BaseRepresentation
bin1100000001000110010110…
…0111101101111110011100
31201210011010101022212201220
43000101211213231332130
53212440233211010434
644033551330533340
72532416026365210
oct300214547557634
951704111285656
1013213024313244
114234680842238
121594933137250
1374aca140ca02
14339729ba0940
1517da7b261d49
hexc04659edf9c

13213024313244 has 96 divisors (see below), whose sum is σ = 37090794854400. Its totient is φ = 3576303057600.

The previous prime is 13213024313243. The next prime is 13213024313297. The reversal of 13213024313244 is 44231342031231.

It is a super-4 number, since 4×132130243132444 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213024313243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39495627 + ... + 39828765.

It is an arithmetic number, because the mean of its divisors is an integer number (386362446400).

Almost surely, 213213024313244 is an apocalyptic number.

13213024313244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13213024313244 is an abundant number, since it is smaller than the sum of its proper divisors (23877770541156).

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

13213024313244 is a wasteful number, since it uses less digits than its factorization.

13213024313244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358023 (or 358021 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 13213024313244 its reverse (44231342031231), we get a palindrome (57444366344475).

The spelling of 13213024313244 in words is "thirteen trillion, two hundred thirteen billion, twenty-four million, three hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 24851 49702 74553 99404 149106 173957 298212 333139 347914 472169 521871 666278 695828 944338 999417 1043742 1332556 1416507 1888676 1998834 2087484 2331973 2833014 3305183 3997668 4663946 5666028 6329641 6610366 6995919 9327892 9915549 12659282 13220732 13991838 18988923 19831098 25318564 27983676 37977846 39662196 44307487 75955692 88614974 132922461 177229948 265844922 531689844 8278837289 16557674578 24836511867 33115349156 49673023734 57951861023 99346047468 115903722046 157297908491 173855583069 231807444092 314595816982 347711166138 471893725473 629191633964 695422332276 943787450946 1101085359437 1887574901892 2202170718874 3303256078311 4404341437748 6606512156622 13213024313244