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213528116430 = 232513717317771
BaseRepresentation
bin1100011011011101000…
…1000111110011001110
3202102011010211012111200
43012313101013303032
511444301144211210
6242032104330330
721266266020456
oct3066721076316
9672133735450
10213528116430
1182614067312
12354721739a6
131719bc3b7b5
14a498a40d66
15584ae450c0
hex31b7447cce

213528116430 has 48 divisors (see below), whose sum is σ = 559225493424. Its totient is φ = 56525201280.

The previous prime is 213528116419. The next prime is 213528116441. The reversal of 213528116430 is 34611825312.

213528116430 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 2 + 8 + 1 + 1 + 643 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213528116419) and next prime (213528116441).

It is a super-2 number, since 2×2135281164302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8646556 + ... + 8671215.

It is an arithmetic number, because the mean of its divisors is an integer number (11650531113).

Almost surely, 2213528116430 is an apocalyptic number.

213528116430 is an abundant number, since it is smaller than the sum of its proper divisors (345697376994).

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

213528116430 is a wasteful number, since it uses less digits than its factorization.

213528116430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17317921 (or 17317918 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 213528116430 in words is "two hundred thirteen billion, five hundred twenty-eight million, one hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 17317771 34635542 51953313 86588855 103906626 155859939 173177710 259766565 311719878 519533130 779299695 1558599390 2372534627 4745069254 7117603881 11862673135 14235207762 21352811643 23725346270 35588019405 42705623286 71176038810 106764058215 213528116430