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213082116 = 223131365911
BaseRepresentation
bin11001011001101…
…10000000000100
3112211221200201020
430230312000010
5414022111431
633051031140
75165111442
oct1454660004
9484850636
10213082116
11aa308825
125b43b4b0
13351b79c0
1420429b92
1513a90696
hexcb36004

213082116 has 24 divisors (see below), whose sum is σ = 535437504. Its totient is φ = 65563680.

The previous prime is 213082091. The next prime is 213082117. The reversal of 213082116 is 611280312.

It is a super-3 number, since 3×2130821163 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213082117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682800 + ... + 683111.

It is an arithmetic number, because the mean of its divisors is an integer number (22309896).

Almost surely, 2213082116 is an apocalyptic number.

213082116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213082116 is an abundant number, since it is smaller than the sum of its proper divisors (322355388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213082116 is a wasteful number, since it uses less digits than its factorization.

213082116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365931 (or 1365929 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 213082116 is about 14597.3324960419. The cubic root of 213082116 is about 597.2859977183.

The spelling of 213082116 in words is "two hundred thirteen million, eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1365911 2731822 4097733 5463644 8195466 16390932 17756843 35513686 53270529 71027372 106541058 213082116