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81214420710 = 235231314611949
BaseRepresentation
bin100101110100011000…
…0011011011011100110
321202121222021001000210
41023220300123123212
52312311342430320
6101150454520250
75603366120523
oct1135060333346
9252558231023
1081214420710
1131496472365
12138a6666086
137873908057
143d0618014a
1521a4e070e0
hex12e8c1b6e6

81214420710 has 128 divisors (see below), whose sum is σ = 205491686400. Its totient is φ = 20502310400.

The previous prime is 81214420633. The next prime is 81214420741. The reversal of 81214420710 is 1702441218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41668816 + ... + 41670764.

It is an arithmetic number, because the mean of its divisors is an integer number (1605403800).

Almost surely, 281214420710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81214420710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102745843200).

81214420710 is an abundant number, since it is smaller than the sum of its proper divisors (124277265690).

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

81214420710 is a wasteful number, since it uses less digits than its factorization.

81214420710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574.

The product of its (nonzero) digits is 3584, while the sum is 30.

Adding to 81214420710 its reverse (1702441218), we get a palindrome (82916861928).

The spelling of 81214420710 in words is "eighty-one billion, two hundred fourteen million, four hundred twenty thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 131 138 230 262 345 393 461 655 690 786 922 1310 1383 1949 1965 2305 2766 3013 3898 3930 4610 5847 6026 6915 9039 9745 10603 11694 13830 15065 18078 19490 21206 29235 30130 31809 44827 45195 53015 58470 60391 63618 89654 90390 106030 120782 134481 159045 181173 224135 255319 268962 301955 318090 362346 448270 510638 603910 672405 765957 898489 905865 1276595 1344810 1388993 1531914 1796978 1811730 2553190 2695467 2777986 3829785 4166979 4492445 5390934 5872337 6944965 7659570 8333958 8984890 11744674 13477335 13889930 17617011 20665247 20834895 26954670 29361685 35234022 41330494 41669790 58723370 61995741 88085055 103326235 117702059 123991482 176170110 206652470 235404118 309978705 353106177 588510295 619957410 706212354 1177020590 1765530885 2707147357 3531061770 5414294714 8121442071 13535736785 16242884142 27071473570 40607210355 81214420710