Search a number
-
+
13000332302020 = 2257794003293639
BaseRepresentation
bin1011110100101110000000…
…1100000101011011000100
31201000211010111210012221201
42331023200030011123010
53200444140032131040
643352134210552244
72511146232205060
oct275134014053304
951024114705851
1013000332302020
114162456737168
12155b674b98684
13733c06785c2b
1432d310206aa0
1517827d926a9a
hexbd2e03056c4

13000332302020 has 96 divisors (see below), whose sum is σ = 31603744972800. Its totient is φ = 4399721449344.

The previous prime is 13000332301961. The next prime is 13000332302021. The reversal of 13000332302020 is 2020323300031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13000332302021) 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 31 ways as a sum of consecutive naturals, for example, 44126361 + ... + 44419999.

It is an arithmetic number, because the mean of its divisors is an integer number (329205676800).

Almost surely, 213000332302020 is an apocalyptic number.

13000332302020 is a gapful number since it is divisible by the number (10) 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 13000332302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801872486400).

13000332302020 is an abundant number, since it is smaller than the sum of its proper divisors (18603412670780).

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

13000332302020 is a wasteful number, since it uses less digits than its factorization.

13000332302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297737 (or 297735 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13000332302020 its reverse (2020323300031), we get a palindrome (15020655602051).

The spelling of 13000332302020 in words is "thirteen trillion, three hundred thirty-two million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 4003 5530 8006 11060 16012 20015 28021 40030 56042 80060 112084 140105 280210 293639 316237 560420 587278 632474 1174556 1264948 1468195 1581185 2055473 2213659 2936390 3162370 4110946 4427318 5872780 6324740 8221892 8854636 10277365 11068295 20554730 22136590 23197481 41109460 44273180 46394962 92789924 115987405 162382367 231974810 324764734 463949620 649529468 811911835 1175436917 1623823670 2350873834 3247647340 4701747668 5877184585 8228058419 11754369170 16456116838 23508738340 32912233676 41140292095 82280584190 92859516443 164561168380 185719032886 371438065772 464297582215 650016615101 928595164430 1300033230202 1857190328860 2600066460404 3250083075505 6500166151010 13000332302020