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213813039 = 31111935431
BaseRepresentation
bin11001011111010…
…00011100101111
3112220022211100110
430233220130233
5414214004124
633114431103
75204244426
oct1457503457
9486284313
10213813039
11aa7679a0
125b732493
13353b25bb
142057a2bd
1513b87029
hexcbe872f

213813039 has 16 divisors (see below), whose sum is σ = 311318784. Its totient is φ = 129451200.

The previous prime is 213813007. The next prime is 213813049. The reversal of 213813039 is 930318312.

It is not a de Polignac number, because 213813039 - 25 = 213813007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213812997 and 213813015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213813049) 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, 36654 + ... + 42084.

It is an arithmetic number, because the mean of its divisors is an integer number (19457424).

Almost surely, 2213813039 is an apocalyptic number.

213813039 is a deficient number, since it is larger than the sum of its proper divisors (97505745).

213813039 is a wasteful number, since it uses less digits than its factorization.

213813039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 213813039 is about 14622.3472465949. The cubic root of 213813039 is about 597.9681632771.

The spelling of 213813039 in words is "two hundred thirteen million, eight hundred thirteen thousand, thirty-nine".

Divisors: 1 3 11 33 1193 3579 5431 13123 16293 39369 59741 179223 6479183 19437549 71271013 213813039