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81020434360320 = 21133571331731423
BaseRepresentation
bin10010011011000000001010…
…001101011010100000000000
3101121212110220101010111201000
4102123000022031122200000
541104414322144012240
6444152135042212000
723031350615064030
oct2233001215324000
9347773811114630
1081020434360320
11238a7633aa8424
129106377654000
13362926a7b7810
1416015a4c6d8c0
159577da11a430
hex49b00a35a800

81020434360320 has 3072 divisors, whose sum is σ = 371171701555200. Its totient is φ = 16304905912320.

The previous prime is 81020434360303. The next prime is 81020434360337. The reversal of 81020434360320 is 2306343402018.

81020434360320 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 0 + 4 + 3 + 43 + 603 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81020434360303) and next prime (81020434360337).

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56936355129 + ... + 56936356551.

It is an arithmetic number, because the mean of its divisors is an integer number (120824121600).

Almost surely, 281020434360320 is an apocalyptic number.

81020434360320 is a gapful number since it is divisible by the number (80) 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 81020434360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185585850777600).

81020434360320 is an abundant number, since it is smaller than the sum of its proper divisors (290151267194880).

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

81020434360320 is a wasteful number, since it uses less digits than its factorization.

81020434360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 81020434360320 its reverse (2306343402018), we get a palindrome (83326777762338).

The spelling of 81020434360320 in words is "eighty-one trillion, twenty billion, four hundred thirty-four million, three hundred sixty thousand, three hundred twenty".