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213880041 = 3357113873
BaseRepresentation
bin11001011111110…
…00110011101001
3112220110020021000
430233320303221
5414223130131
633120105213
75204643654
oct1457706351
9486406230
10213880041
11aa803271
125b765209
1335406c4b
142059689b
1513b9bce6
hexcbf8ce9

213880041 has 16 divisors (see below), whose sum is σ = 317437120. Its totient is φ = 142326720.

The previous prime is 213880031. The next prime is 213880057. The reversal of 213880041 is 140088312.

It is not a de Polignac number, because 213880041 - 29 = 213879529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213879987 and 213880014.

It is not an unprimeable number, because it can be changed into a prime (213880021) 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 15 ways as a sum of consecutive naturals, for example, 8481 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (19839820).

Almost surely, 2213880041 is an apocalyptic number.

It is an amenable number.

213880041 is a deficient number, since it is larger than the sum of its proper divisors (103557079).

213880041 is a wasteful number, since it uses less digits than its factorization.

213880041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 213880041 is about 14624.6381493697. The cubic root of 213880041 is about 598.0306179630.

The spelling of 213880041 in words is "two hundred thirteen million, eight hundred eighty thousand, forty-one".

Divisors: 1 3 9 27 571 1713 5139 13873 15417 41619 124857 374571 7921483 23764449 71293347 213880041