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213131303 = 71119145681
BaseRepresentation
bin11001011010000…
…10000000100111
3112212001012011222
430231002000213
5414030200203
633052050555
75165405030
oct1455020047
9485035158
10213131303
11aa341780
125b463a5b
13352041c8
142043da87
1513aa0038
hexcb42027

213131303 has 16 divisors (see below), whose sum is σ = 279709440. Its totient is φ = 157334400.

The previous prime is 213131299. The next prime is 213131309. The reversal of 213131303 is 303131312.

It is a cyclic number.

It is not a de Polignac number, because 213131303 - 22 = 213131299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71378 + ... + 74303.

It is an arithmetic number, because the mean of its divisors is an integer number (17481840).

Almost surely, 2213131303 is an apocalyptic number.

213131303 is a deficient number, since it is larger than the sum of its proper divisors (66578137).

213131303 is a wasteful number, since it uses less digits than its factorization.

213131303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145718.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 213131303 is about 14599.0171929483. The cubic root of 213131303 is about 597.3319525308.

Adding to 213131303 its reverse (303131312), we get a palindrome (516262615).

Subtracting 213131303 from its reverse (303131312), we obtain a palindrome (90000009).

The spelling of 213131303 in words is "two hundred thirteen million, one hundred thirty-one thousand, three hundred three".

Divisors: 1 7 11 19 77 133 209 1463 145681 1019767 1602491 2767939 11217437 19375573 30447329 213131303