Search a number
-
+
13002421212 = 223311109100411
BaseRepresentation
bin11000001110000000…
…10011001111011100
31020120011100102202000
430013000103033130
5203112104434322
65550115002300
7640132520364
oct140700231734
936504312660
1013002421212
115572589560
12262a599390
1312c2a3ba81
148b4bd99a4
1551177e3ac
hex3070133dc

13002421212 has 96 divisors (see below), whose sum is σ = 37112275200. Its totient is φ = 3903940800.

The previous prime is 13002421199. The next prime is 13002421217. The reversal of 13002421212 is 21212420031.

It is a happy number.

13002421212 is a `hidden beast` number, since 1 + 30 + 0 + 2 + 421 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002421217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79287 + ... + 179697.

It is an arithmetic number, because the mean of its divisors is an integer number (386586200).

Almost surely, 213002421212 is an apocalyptic number.

13002421212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556137600).

13002421212 is an abundant number, since it is smaller than the sum of its proper divisors (24109853988).

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

13002421212 is a wasteful number, since it uses less digits than its factorization.

13002421212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100544 (or 100536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13002421212 its reverse (21212420031), we get a palindrome (34214841243).

The spelling of 13002421212 in words is "thirteen billion, two million, four hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1188 1199 1308 1962 2398 2943 3597 3924 4796 5886 7194 10791 11772 14388 21582 32373 43164 64746 100411 129492 200822 301233 401644 602466 903699 1104521 1204932 1807398 2209042 2711097 3313563 3614796 4418084 5422194 6627126 9940689 10844388 10944799 13254252 19881378 21889598 29822067 32834397 39762756 43779196 59644134 65668794 98503191 119288268 120392789 131337588 197006382 240785578 295509573 361178367 394012764 481571156 591019146 722356734 1083535101 1182038292 1444713468 2167070202 3250605303 4334140404 6501210606 13002421212