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412113213 = 32533892221
BaseRepresentation
bin11000100100000…
…101100100111101
31001201110112001100
4120210011210331
51321000110323
6104521003313
713132622151
oct3044054475
91051415040
10412113213
111a1699836
12b6023539
13674c2c95
143ca39061
15262a7943
hex1890593d

412113213 has 24 divisors (see below), whose sum is σ = 608339160. Its totient is φ = 268744320.

The previous prime is 412113203. The next prime is 412113239. The reversal of 412113213 is 312311214.

It can be written as a sum of positive squares in 4 ways, for example, as 80946009 + 331167204 = 8997^2 + 18198^2 .

It is not a de Polignac number, because 412113213 - 214 = 412096829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412113203) 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 23 ways as a sum of consecutive naturals, for example, 184443 + ... + 186663.

It is an arithmetic number, because the mean of its divisors is an integer number (25347465).

Almost surely, 2412113213 is an apocalyptic number.

It is an amenable number.

412113213 is a deficient number, since it is larger than the sum of its proper divisors (196225947).

412113213 is a wasteful number, since it uses less digits than its factorization.

412113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2666 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 412113213 is about 20300.5717407171. The cubic root of 412113213 is about 744.1700367952.

Adding to 412113213 its reverse (312311214), we get a palindrome (724424427).

The spelling of 412113213 in words is "four hundred twelve million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 53 159 389 477 1167 2221 3501 6663 19989 20617 61851 117713 185553 353139 863969 1059417 2591907 7775721 45790357 137371071 412113213