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13200212020 = 2251797400249
BaseRepresentation
bin11000100101100101…
…10100000000110100
31021001221112020201111
430102302310000310
5204013223241040
610021502204404
7645053644102
oct142262640064
937057466644
1013200212020
1156641a2736
122684883704
131324a01658
148d31a4c72
15523ceddea
hex312cb4034

13200212020 has 48 divisors (see below), whose sum is σ = 29653722000. Its totient is φ = 4918247424.

The previous prime is 13200211991. The next prime is 13200212027. The reversal of 13200212020 is 2021200231.

It can be written as a sum of positive squares in 8 ways, for example, as 33108516 + 13167103504 = 5754^2 + 114748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167145 + ... + 233104.

It is an arithmetic number, because the mean of its divisors is an integer number (617785875).

Almost surely, 213200212020 is an apocalyptic number.

13200212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200212020 is an abundant number, since it is smaller than the sum of its proper divisors (16453509980).

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

13200212020 is a wasteful number, since it uses less digits than its factorization.

13200212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400372 (or 400370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13200212020 its reverse (2021200231), we get a palindrome (15221412251).

The spelling of 13200212020 in words is "thirteen billion, two hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 400249 800498 1600996 2001245 4002490 6804233 8004980 13608466 27216932 34021165 38824153 68042330 77648306 136084660 155296612 194120765 388241530 660010601 776483060 1320021202 2640042404 3300053005 6600106010 13200212020