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101342797 = 1714940009
BaseRepresentation
bin1100000101001…
…01111001001101
321001200202011221
412002211321031
5201420432142
614020043341
72340254023
oct602457115
9231622157
10101342797
1152229386
1229b33551
1317cc3a6a
14d660713
158d6c767
hex60a5e4d

101342797 has 8 divisors (see below), whose sum is σ = 108027000. Its totient is φ = 94738944.

The previous prime is 101342783. The next prime is 101342809. The reversal of 101342797 is 797243101.

It can be written as a sum of positive squares in 4 ways, for example, as 42068196 + 59274601 = 6486^2 + 7699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101342797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17472 + ... + 22537.

It is an arithmetic number, because the mean of its divisors is an integer number (13503375).

Almost surely, 2101342797 is an apocalyptic number.

101342797 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101342797 is a deficient number, since it is larger than the sum of its proper divisors (6684203).

101342797 is a wasteful number, since it uses less digits than its factorization.

101342797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40175.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 101342797 is about 10066.9159626968. The cubic root of 101342797 is about 466.2272234535.

Adding to 101342797 its reverse (797243101), we get a palindrome (898585898).

The spelling of 101342797 in words is "one hundred one million, three hundred forty-two thousand, seven hundred ninety-seven".

Divisors: 1 17 149 2533 40009 680153 5961341 101342797