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81035870220 = 223253174493163
BaseRepresentation
bin100101101111000011…
…1010100000000001100
321202011112021201210200
41023132013110000030
52311430140321340
6101121035533500
75566100350254
oct1133607240014
9252145251720
1081035870220
11314046aa778
12138568ba290
137845920b86
143cca582964
1521943d8330
hex12de1d400c

81035870220 has 144 divisors (see below), whose sum is σ = 247211546400. Its totient is φ = 21486624768.

The previous prime is 81035870191. The next prime is 81035870221. The reversal of 81035870220 is 2207853018.

81035870220 is a `hidden beast` number, since 8 + 10 + 358 + 70 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81035870221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25618359 + ... + 25621521.

It is an arithmetic number, because the mean of its divisors is an integer number (1716746850).

Almost surely, 281035870220 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 81035870220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123605773200).

81035870220 is an abundant number, since it is smaller than the sum of its proper divisors (166175676180).

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

81035870220 is a wasteful number, since it uses less digits than its factorization.

81035870220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 81035870220 in words is "eighty-one billion, thirty-five million, eight hundred seventy thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 449 634 898 951 1268 1347 1585 1796 1902 2245 2694 2853 3163 3170 3804 4041 4490 4755 5388 5706 6326 6340 6735 8082 8980 9489 9510 11412 12652 13470 14265 15815 16164 18978 19020 20205 26940 28467 28530 31630 37956 40410 47445 56934 57060 63260 80820 94890 113868 142333 142335 189780 284666 284670 426999 569332 569340 711665 853998 1002671 1280997 1420187 1423330 1707996 2005342 2134995 2561994 2840374 2846660 3008013 4010684 4260561 4269990 5013355 5123988 5680748 6016026 6404985 7100935 8521122 8539980 9024039 10026710 12032052 12781683 12809970 14201870 15040065 17042244 18048078 20053420 21302805 25563366 25619940 28403740 30080130 36096156 42605610 45120195 51126732 60160260 63908415 85211220 90240390 127816830 180480780 255633660 450199279 900398558 1350597837 1800797116 2250996395 2701195674 4051793511 4501992790 5402391348 6752989185 8103587022 9003985580 13505978370 16207174044 20258967555 27011956740 40517935110 81035870220