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210011334320 = 24583269117577
BaseRepresentation
bin1100001110010110100…
…1101010011010110000
3202002002001101011101102
43003211221222122300
511420100400144240
6240251115423532
721113163613424
oct3034551523260
9662061334342
10210011334320
1181079a17917
1234850454ba8
1316a5b477638
14a243954b84
1556e2320815
hex30e5a6a6b0

210011334320 has 80 divisors (see below), whose sum is σ = 496000441440. Its totient is φ = 82683205632.

The previous prime is 210011334311. The next prime is 210011334329. The reversal of 210011334320 is 23433110012.

It is an interprime number because it is at equal distance from previous prime (210011334311) and next prime (210011334329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210011334292 and 210011334301.

It is not an unprimeable number, because it can be changed into a prime (210011334329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727372 + ... + 1844948.

It is an arithmetic number, because the mean of its divisors is an integer number (6200005518).

Almost surely, 2210011334320 is an apocalyptic number.

210011334320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248000220720).

210011334320 is an abundant number, since it is smaller than the sum of its proper divisors (285989107120).

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

210011334320 is a wasteful number, since it uses less digits than its factorization.

210011334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117942 (or 117936 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 210011334320 its reverse (23433110012), we get a palindrome (233444444332).

The spelling of 210011334320 in words is "two hundred ten billion, eleven million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 269 332 415 538 664 830 1076 1328 1345 1660 2152 2690 3320 4304 5380 6640 10760 21520 22327 44654 89308 111635 117577 178616 223270 235154 357232 446540 470308 587885 893080 940616 1175770 1786160 1881232 2351540 4703080 9406160 9758891 19517782 31628213 39035564 48794455 63256426 78071128 97588910 126512852 156142256 158141065 195177820 253025704 316282130 390355640 506051408 632564260 780711280 1265128520 2530257040 2625141679 5250283358 10500566716 13125708395 21001133432 26251416790 42002266864 52502833580 105005667160 210011334320