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13320002020 = 2251328834463
BaseRepresentation
bin11000110011110111…
…10001100111100100
31021101021221012201011
430121323301213210
5204234410031040
610041421512004
7651040102063
oct143173614744
937337835634
1013320002020
115715880736
1226b8a12604
131343783b00
149050681da
1552e5b23ea
hex319ef19e4

13320002020 has 72 divisors (see below), whose sum is σ = 30330308736. Its totient is φ = 4911484032.

The previous prime is 13320002011. The next prime is 13320002023. The reversal of 13320002020 is 2020002331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (13320002023) 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, 2982309 + ... + 2986771.

It is an arithmetic number, because the mean of its divisors is an integer number (421254288).

Almost surely, 213320002020 is an apocalyptic number.

13320002020 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 13320002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165154368).

13320002020 is an abundant number, since it is smaller than the sum of its proper divisors (17010306716).

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

13320002020 is a wasteful number, since it uses less digits than its factorization.

13320002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13320002020 its reverse (2020002331), we get a palindrome (15340004351).

The spelling of 13320002020 in words is "thirteen billion, three hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 883 1690 1766 3380 3532 4415 4463 8830 8926 11479 17660 17852 22315 22958 44630 45916 57395 58019 89260 114790 116038 149227 229580 232076 290095 298454 580190 596908 746135 754247 1160380 1492270 1508494 2984540 3016988 3771235 3940829 7542470 7881658 15084940 15763316 19704145 39408290 51230777 78816580 102461554 204923108 256153885 512307770 666000101 1024615540 1332000202 2664000404 3330000505 6660001010 13320002020