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21175324830 = 23351127126309
BaseRepresentation
bin10011101110001001…
…011101000010011110
32000122202002221211000
4103232021131002132
5321331340343310
613421112411130
71346513201622
oct235611350236
960582087730
1021175324830
118a86a11a60
12412b6a6aa6
131cc603ca0a
14104c431182
1583e0304c0
hex4ee25d09e

21175324830 has 128 divisors (see below), whose sum is σ = 61830604800. Its totient is φ = 5114275200.

The previous prime is 21175324829. The next prime is 21175324879. The reversal of 21175324830 is 3842357112.

21175324830 is a `hidden beast` number, since 2 + 1 + 175 + 3 + 2 + 483 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791716 + ... + 818024.

It is an arithmetic number, because the mean of its divisors is an integer number (483051600).

Almost surely, 221175324830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21175324830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30915302400).

21175324830 is an abundant number, since it is smaller than the sum of its proper divisors (40655279970).

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

21175324830 is a wasteful number, since it uses less digits than its factorization.

21175324830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26607 (or 26601 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 211 and 75324830, that added together give a square (75325041 = 86792).

The spelling of 21175324830 in words is "twenty-one billion, one hundred seventy-five million, three hundred twenty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 271 297 330 495 542 594 813 990 1355 1485 1626 2439 2710 2970 2981 4065 4878 5962 7317 8130 8943 12195 14634 14905 17886 24390 26309 26829 29810 36585 44715 52618 53658 73170 78927 80487 89430 131545 134145 157854 160974 236781 263090 268290 289399 394635 402435 473562 578798 710343 789270 804870 868197 1183905 1420686 1446995 1736394 2367810 2604591 2893990 3551715 4340985 5209182 7103430 7129739 7813773 8681970 13022955 14259478 15627546 21389217 26045910 35648695 39068865 42778434 64167651 71297390 78137730 78427129 106946085 128335302 156854258 192502953 213892170 235281387 320838255 385005906 392135645 470562774 641676510 705844161 784271290 962514765 1176406935 1411688322 1925029530 2117532483 2352813870 3529220805 4235064966 7058441610 10587662415 21175324830