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100068125841 = 352914200103
BaseRepresentation
bin101110100110010000…
…1100110110010010001
3100120021220211111100000
41131030201212302101
53114414420011331
6113545355120213
710141532015055
oct1351441466221
9316256744300
10100068125841
1139490937052
1217488743069
1395899731a8
144bb4115c65
15290a1e50e6
hex174c866c91

100068125841 has 24 divisors (see below), whose sum is σ = 155065135680. Its totient is φ = 64411662672.

The previous prime is 100068125827. The next prime is 100068125879. The reversal of 100068125841 is 148521860001.

100068125841 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 68 + 12 + 584 + 1 = 666.

It is not a de Polignac number, because 100068125841 - 25 = 100068125809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100068125796 and 100068125805.

It is not an unprimeable number, because it can be changed into a prime (100068125881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7093005 + ... + 7107098.

It is an arithmetic number, because the mean of its divisors is an integer number (6461047320).

Almost surely, 2100068125841 is an apocalyptic number.

It is an amenable number.

100068125841 is a deficient number, since it is larger than the sum of its proper divisors (54997009839).

100068125841 is an equidigital number, since it uses as much as digits as its factorization.

100068125841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200147 (or 14200135 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 100068125841 its reverse (148521860001), we get a palindrome (248589985842).

The spelling of 100068125841 in words is "one hundred billion, sixty-eight million, one hundred twenty-five thousand, eight hundred forty-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 14200103 42600309 127800927 383402781 411802987 1150208343 1235408961 3450625029 3706226883 11118680649 33356041947 100068125841