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103228774688 = 251321722572
BaseRepresentation
bin110000000100011101…
…0100001100100100000
3100212110012011002110102
41200020322201210200
53142403031242223
6115231142521532
710313051051534
oct1401072414440
9325405132412
10103228774688
113a862a52336
121800b1362a8
139971714600
144dd3bb9bc4
152a4291d928
hex1808ea1920

103228774688 has 162 divisors, whose sum is σ = 234687194721. Its totient is φ = 44666978304.

The previous prime is 103228774687. The next prime is 103228774703. The reversal of 103228774688 is 886477822301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 29629425424 + 73599349264 = 172132^2 + 271292^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227188.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103228774687) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 401668256 + ... + 401668512.

Almost surely, 2103228774688 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 103228774688

103228774688 is an abundant number, since it is smaller than the sum of its proper divisors (131458420033).

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

103228774688 is an equidigital number, since it uses as much as digits as its factorization.

103228774688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 103228774688 in words is "one hundred three billion, two hundred twenty-eight million, seven hundred seventy-four thousand, six hundred eighty-eight".