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81013325310 = 23854093019
BaseRepresentation
bin100101101110011000…
…1010011110111111110
321202002221212100000000
41023130301103313332
52311403402402220
6101114512415130
75565404621541
oct1133461236776
9252087770000
1081013325310
11313a2a01415
121384b2474a6
1378410592a8
143cc7594858
152192433390
hex12dcc53dfe

81013325310 has 144 divisors (see below), whose sum is σ = 219332271600. Its totient is φ = 21543594624.

The previous prime is 81013325297. The next prime is 81013325311. The reversal of 81013325310 is 1352331018.

81013325310 is a `hidden beast` number, since 8 + 10 + 1 + 332 + 5 + 310 = 666.

It is a super-2 number, since 2×810133253102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81013325311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26832981 + ... + 26835999.

It is an arithmetic number, because the mean of its divisors is an integer number (1523140775).

Almost surely, 281013325310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81013325310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109666135800).

81013325310 is an abundant number, since it is smaller than the sum of its proper divisors (138318946290).

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

81013325310 is an equidigital number, since it uses as much as digits as its factorization.

81013325310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 81013325310 its reverse (1352331018), we get a palindrome (82365656328).

The spelling of 81013325310 in words is "eighty-one billion, thirteen million, three hundred twenty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 409 486 729 810 818 1215 1227 1458 2045 2187 2430 2454 3019 3645 3681 4090 4374 6038 6135 6561 7290 7362 9057 10935 11043 12270 13122 15095 18114 18405 21870 22086 27171 30190 32805 33129 36810 45285 54342 55215 65610 66258 81513 90570 99387 110430 135855 163026 165645 198774 244539 271710 298161 331290 407565 489078 496935 596322 733617 815130 894483 993870 1222695 1234771 1467234 1490805 1788966 2200851 2445390 2469542 2683449 2981610 3668085 3704313 4401702 4472415 5366898 6173855 6602553 7336170 7408626 8944830 11004255 11112939 12347710 13205106 13417245 18521565 19807659 22008510 22225878 26834490 33012765 33338817 37043130 39615318 55564695 66025530 66677634 99038295 100016451 111129390 166694085 198076590 200032902 300049353 333388170 500082255 600098706 900148059 1000164510 1500246765 1800296118 2700444177 3000493530 4500740295 5400888354 8101332531 9001480590 13502220885 16202665062 27004441770 40506662655 81013325310