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213958141 = 1767318701
BaseRepresentation
bin11001100000010…
…11110111111101
3112220121012101121
430300023313331
5414233130031
633121510541
75205420445
oct1460136775
9486535347
10213958141
11aa856a11
125b7a2451
1335433667
14205b7125
1513bb5011
hexcc0bdfd

213958141 has 8 divisors (see below), whose sum is σ = 226892664. Its totient is φ = 201062400.

The previous prime is 213958123. The next prime is 213958181. The reversal of 213958141 is 141859312.

It can be written as a sum of positive squares in 4 ways, for example, as 15570916 + 198387225 = 3946^2 + 14085^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213958141 - 213 = 213949949 is a prime.

It is a super-2 number, since 2×2139581412 = 91556172200351762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213958097 and 213958106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213958111) 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 7 ways as a sum of consecutive naturals, for example, 2091 + ... + 20791.

It is an arithmetic number, because the mean of its divisors is an integer number (28361583).

Almost surely, 2213958141 is an apocalyptic number.

It is an amenable number.

213958141 is a deficient number, since it is larger than the sum of its proper divisors (12934523).

213958141 is a wasteful number, since it uses less digits than its factorization.

213958141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19391.

The product of its digits is 8640, while the sum is 34.

The square root of 213958141 is about 14627.3080571922. The cubic root of 213958141 is about 598.1034009853.

The spelling of 213958141 in words is "two hundred thirteen million, nine hundred fifty-eight thousand, one hundred forty-one".

Divisors: 1 17 673 11441 18701 317917 12585773 213958141