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213321303 = 331319291103
BaseRepresentation
bin11001011011100…
…00011001010111
3112212101211211000
430231300121113
5414102240203
633100114343
75200125666
oct1455603127
9485354730
10213321303
11aa4614a8
125b5359b3
133526c830
142048cddd
1513adb4a3
hexcb70657

213321303 has 64 divisors (see below), whose sum is σ = 370944000. Its totient is φ = 119968128.

The previous prime is 213321289. The next prime is 213321307. The reversal of 213321303 is 303123312.

It is not a de Polignac number, because 213321303 - 26 = 213321239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192850 + ... + 193952.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2213321303 is an apocalyptic number.

213321303 is a deficient number, since it is larger than the sum of its proper divisors (157622697).

213321303 is a wasteful number, since it uses less digits than its factorization.

213321303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213321303 is about 14605.5230306895. The cubic root of 213321303 is about 597.5094008313.

Adding to 213321303 its reverse (303123312), we get a palindrome (516444615).

It can be divided in two parts, 2133 and 21303, that added together give a triangular number (23436 = T216).

The spelling of 213321303 in words is "two hundred thirteen million, three hundred twenty-one thousand, three hundred three".

Divisors: 1 3 9 13 19 27 29 39 57 87 117 171 247 261 351 377 513 551 741 783 1103 1131 1653 2223 3309 3393 4959 6669 7163 9927 10179 14339 14877 20957 21489 29781 31987 43017 62871 64467 95961 129051 188613 193401 272441 287883 387153 415831 565839 607753 817323 863649 1247493 1823259 2451969 3742479 5469777 7355907 7900789 11227437 16409331 23702367 71107101 213321303