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213802141 = 724363309
BaseRepresentation
bin11001011111001…
…01110010011101
3112220022021101211
430233211302131
5414213132031
633114304421
75204200600
oct1457456235
9486267354
10213802141
11aa75a793
125b728111
13353aa657
1420576337
1513b83bb1
hexcbe5c9d

213802141 has 6 divisors (see below), whose sum is σ = 248708670. Its totient is φ = 183258936.

The previous prime is 213802097. The next prime is 213802151. The reversal of 213802141 is 141208312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 145805625 + 67996516 = 12075^2 + 8246^2 .

It is not a de Polignac number, because 213802141 - 219 = 213277853 is a prime.

It is a super-2 number, since 2×2138021412 = 91422710992367762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213802151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2181606 + ... + 2181703.

It is an arithmetic number, because the mean of its divisors is an integer number (41451445).

Almost surely, 2213802141 is an apocalyptic number.

It is an amenable number.

213802141 is a deficient number, since it is larger than the sum of its proper divisors (34906529).

213802141 is an equidigital number, since it uses as much as digits as its factorization.

213802141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363323 (or 4363316 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 213802141 is about 14621.9745930568. The cubic root of 213802141 is about 597.9580036726.

The spelling of 213802141 in words is "two hundred thirteen million, eight hundred two thousand, one hundred forty-one".

Divisors: 1 7 49 4363309 30543163 213802141