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20201313 = 31121929101
BaseRepresentation
bin100110100001…
…1111101100001
31102000022222210
41031003331201
520132420223
62000552333
7333464646
oct115037541
942008883
1020201313
1110448600
1269226a9
134253c52
14297bdcd
151b90893
hex1343f61

20201313 has 48 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 11088000.

The previous prime is 20201303. The next prime is 20201329. The reversal of 20201313 is 31310202.

It is a happy number.

It is not a de Polignac number, because 20201313 - 26 = 20201249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20201303) 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 47 ways as a sum of consecutive naturals, for example, 199963 + ... + 200063.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 220201313 is an apocalyptic number.

It is an amenable number.

20201313 is a deficient number, since it is larger than the sum of its proper divisors (12357087).

20201313 is a wasteful number, since it uses less digits than its factorization.

20201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20201313 is about 4494.5870778081. The cubic root of 20201313 is about 272.3494688064.

Adding to 20201313 its reverse (31310202), we get a palindrome (51511515).

Subtracting 20201313 from its reverse (31310202), we obtain a square (11108889 = 33332).

It can be divided in two parts, 2020 and 1313, that added together give a palindrome (3333).

The spelling of 20201313 in words is "twenty million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 11 19 29 33 57 87 101 121 209 303 319 363 551 627 957 1111 1653 1919 2299 2929 3333 3509 5757 6061 6897 8787 10527 12221 18183 21109 32219 36663 55651 63327 66671 96657 166953 200013 232199 354409 612161 696597 1063227 1836483 6733771 20201313