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213206007 = 3725692549
BaseRepresentation
bin11001011010101…
…00001111110111
3112212011222122210
430231110033313
5414040043012
633053424503
75166135600
oct1455241767
9485158583
10213206007
11aa392913
125b49b133
133522c201
142045cda7
1513ab723c
hexcb543f7

213206007 has 24 divisors (see below), whose sum is σ = 331398000. Its totient is φ = 121570176.

The previous prime is 213205991. The next prime is 213206009. The reversal of 213206007 is 700602312.

It is a happy number.

It is not a de Polignac number, because 213206007 - 24 = 213205991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213206009) 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 23 ways as a sum of consecutive naturals, for example, 82369 + ... + 84917.

It is an arithmetic number, because the mean of its divisors is an integer number (13808250).

Almost surely, 2213206007 is an apocalyptic number.

213206007 is a deficient number, since it is larger than the sum of its proper divisors (118191993).

213206007 is a wasteful number, since it uses less digits than its factorization.

213206007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 213206007 is about 14601.5754971852. The cubic root of 213206007 is about 597.4017340427.

Adding to 213206007 its reverse (700602312), we get a palindrome (913808319).

The spelling of 213206007 in words is "two hundred thirteen million, two hundred six thousand, seven".

Divisors: 1 3 7 21 49 147 569 1707 2549 3983 7647 11949 17843 27881 53529 83643 124901 374703 1450381 4351143 10152667 30458001 71068669 213206007