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82323130011741 = 3224501173733297
BaseRepresentation
bin10010101101111101011000…
…111010111101000001011101
3101210111000101110211020111200
4102231331120322331001131
541242240232240333431
6451030420203110113
723224435622320443
oct2255753072750135
9353430343736450
1082323130011741
112425a052806403
129296935812339
1336c2065205268
141648664438b93
1597b630a16ee6
hex4adf58ebd05d

82323130011741 has 12 divisors (see below), whose sum is σ = 118911268179132. Its totient is φ = 54882049574016.

The previous prime is 82323130011713. The next prime is 82323130011751. The reversal of 82323130011741 is 14711003132328.

82323130011741 is a `hidden beast` number, since 8 + 2 + 3 + 231 + 300 + 117 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28594376611641 + 53728753400100 = 5347371^2 + 7329990^2 .

It is not a de Polignac number, because 82323130011741 - 211 = 82323130009693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82323130011696 and 82323130011705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82323130011751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20184405 + ... + 23917701.

It is an arithmetic number, because the mean of its divisors is an integer number (9909272348261).

Almost surely, 282323130011741 is an apocalyptic number.

It is an amenable number.

82323130011741 is a deficient number, since it is larger than the sum of its proper divisors (36588138167391).

82323130011741 is a wasteful number, since it uses less digits than its factorization.

82323130011741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183420 (or 6183417 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 82323130011741 in words is "eighty-two trillion, three hundred twenty-three billion, one hundred thirty million, eleven thousand, seven hundred forty-one".

Divisors: 1 3 9 2450117 3733297 7350351 11199891 22051053 33599673 9147014445749 27441043337247 82323130011741