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13122020 = 2255091289
BaseRepresentation
bin110010000011…
…100111100100
3220200200000202
4302003213210
511324401040
61145130032
7216351422
oct62034744
926620022
1013122020
11745284a
124489918
132945912
141a58112
151243015
hexc839e4

13122020 has 24 divisors (see below), whose sum is σ = 27631800. Its totient is φ = 5234432.

The previous prime is 13122001. The next prime is 13122037. The reversal of 13122020 is 2022131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4919524 + 8202496 = 2218^2 + 2864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13121992 and 13122010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9536 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (1151325).

Almost surely, 213122020 is an apocalyptic number.

13122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122020 is an abundant number, since it is smaller than the sum of its proper divisors (14509780).

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

13122020 is a wasteful number, since it uses less digits than its factorization.

13122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13122020 is about 3622.4328841264. The cubic root of 13122020 is about 235.8668453115.

Adding to 13122020 its reverse (2022131), we get a palindrome (15144151).

It can be divided in two parts, 131220 and 20, that multiplied together give a square (2624400 = 16202).

The spelling of 13122020 in words is "thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 509 1018 1289 2036 2545 2578 5090 5156 6445 10180 12890 25780 656101 1312202 2624404 3280505 6561010 13122020