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213721326 = 232713130477
BaseRepresentation
bin11001011110100…
…10000011101110
3112220011011112200
430233102003232
5414203040301
633112442330
75203413150
oct1457220356
9486134480
10213721326
11aa704aa5
125b6a93a6
133537c930
1420554ad0
1513b69c86
hexcbd20ee

213721326 has 48 divisors (see below), whose sum is σ = 569927904. Its totient is φ = 56365632.

The previous prime is 213721283. The next prime is 213721327. The reversal of 213721326 is 623127312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213721326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213721327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63601 + ... + 66876.

It is an arithmetic number, because the mean of its divisors is an integer number (11873498).

Almost surely, 2213721326 is an apocalyptic number.

213721326 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

213721326 is an abundant number, since it is smaller than the sum of its proper divisors (356206578).

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

213721326 is a wasteful number, since it uses less digits than its factorization.

213721326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130505 (or 130502 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 213721326 is about 14619.2108542151. The cubic root of 213721326 is about 597.8826535291.

Adding to 213721326 its reverse (623127312), we get a palindrome (836848638).

The spelling of 213721326 in words is "two hundred thirteen million, seven hundred twenty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 130477 260954 391431 782862 913339 1174293 1696201 1826678 2348586 2740017 3392402 5088603 5480034 8220051 10177206 11873407 15265809 16440102 23746814 30531618 35620221 71240442 106860663 213721326