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81300085340 = 225191017432851
BaseRepresentation
bin100101110110111011…
…1001101101001011100
321202211221110020210212
41023231313031221130
52313000310212330
6101203154551552
75605456215605
oct1135567155134
9252757406725
1081300085340
113152a862481
121390b2985b8
13788859c896
143d136bcdac
1521ac6c9295
hex12eddcda5c

81300085340 has 96 divisors (see below), whose sum is σ = 181803363840. Its totient is φ = 30451680000.

The previous prime is 81300085333. The next prime is 81300085357. The reversal of 81300085340 is 4358000318.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 81300085297 and 81300085306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28514915 + ... + 28517765.

It is an arithmetic number, because the mean of its divisors is an integer number (1893785040).

Almost surely, 281300085340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81300085340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90901681920).

81300085340 is an abundant number, since it is smaller than the sum of its proper divisors (100503278500).

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

81300085340 is a wasteful number, since it uses less digits than its factorization.

81300085340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 81300085340 its reverse (4358000318), we get a palindrome (85658085658).

The spelling of 81300085340 in words is "eighty-one billion, three hundred million, eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 743 1010 1486 1919 2020 2851 2972 3715 3838 5702 7430 7676 9595 11404 14117 14255 14860 19190 28234 28510 38380 54169 56468 57020 70585 75043 108338 141170 150086 216676 270845 282340 287951 300172 375215 541690 575902 750430 1083380 1151804 1425817 1439755 1500860 2118293 2851634 2879510 4236586 5471069 5703268 5759020 7129085 8473172 10591465 10942138 14258170 21182930 21884276 27355345 28516340 40247567 42365860 54710690 80495134 109421380 160990268 201237835 213947593 402475670 427895186 804951340 855790372 1069737965 2139475930 4065004267 4278951860 8130008534 16260017068 20325021335 40650042670 81300085340