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80275322241 = 34314812
BaseRepresentation
bin100101011000011001…
…0000011010110000001
321200012112011220010000
41022300302003112001
52303400440302431
6100513350430213
75541203660232
oct1126062032601
9250175156100
1080275322241
1131054365824
1213684062369
1377541a229a
143c57567089
15214c7559e6
hex12b0c83581

80275322241 has 15 divisors (see below), whose sum is σ = 119921266003. Its totient is φ = 53515181520.

The previous prime is 80275322233. The next prime is 80275322317. The reversal of 80275322241 is 14222357208.

The square root of 80275322241 is 283329.

It is a perfect power (a square), and thus also a powerful number.

80275322241 is a `hidden beast` number, since 80 + 2 + 7 + 532 + 2 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4826219841 + 75449102400 = 69471^2 + 274680^2 .

It is not a de Polignac number, because 80275322241 - 23 = 80275322233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80275322196 and 80275322205.

It is not an unprimeable number, because it can be changed into a prime (80275322341) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2534221 + ... + 2565701.

Almost surely, 280275322241 is an apocalyptic number.

80275322241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80275322241 is the 283329-th square number.

80275322241 is the 141665-th centered octagonal number.

It is an amenable number.

80275322241 is a deficient number, since it is larger than the sum of its proper divisors (39645943762).

80275322241 is an frugal number, since it uses more digits than its factorization.

80275322241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62974 (or 31484 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 80275322241 by its sum of digits (36), we get a square (2889911600676 = 16999742).

Adding to 80275322241 its reverse (14222357208), we get a palindrome (94497679449).

The spelling of 80275322241 in words is "eighty billion, two hundred seventy-five million, three hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 31481 94443 283329 849987 2549961 991053361 2973160083 8919480249 26758440747 80275322241