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68818101 = 31110971901
BaseRepresentation
bin1000001101000…
…01010010110101
311210111022200120
410012201102311
5120104134401
610455002153
71463641602
oct406412265
9153438616
1068818101
1135934070
121b069359
1311346891
1491d56a9
156095836
hex41a14b5

68818101 has 16 divisors (see below), whose sum is σ = 100243008. Its totient is φ = 41648000.

The previous prime is 68818097. The next prime is 68818121. The reversal of 68818101 is 10181886.

It is a cyclic number.

It is not a de Polignac number, because 68818101 - 22 = 68818097 is a prime.

It is a super-3 number, since 3×688181013 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68818121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35251 + ... + 37151.

It is an arithmetic number, because the mean of its divisors is an integer number (6265188).

Almost surely, 268818101 is an apocalyptic number.

It is an amenable number.

68818101 is a deficient number, since it is larger than the sum of its proper divisors (31424907).

68818101 is a wasteful number, since it uses less digits than its factorization.

68818101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012.

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 68818101 is about 8295.6676042378. The cubic root of 68818101 is about 409.7958551420.

Adding to 68818101 its reverse (10181886), we get a palindrome (78999987).

The spelling of 68818101 in words is "sixty-eight million, eight hundred eighteen thousand, one hundred one".

Divisors: 1 3 11 33 1097 1901 3291 5703 12067 20911 36201 62733 2085397 6256191 22939367 68818101