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101242341 = 3229338393
BaseRepresentation
bin1100000100011…
…01010111100101
321001111122101100
412002031113211
5201404223331
614013550313
72336355114
oct602152745
9231448340
10101242341
115216a962
1229aa5399
1317c8a115
14d635c7b
158d4cae6
hex608d5e5

101242341 has 12 divisors (see below), whose sum is σ = 146741868. Its totient is φ = 67262784.

The previous prime is 101242319. The next prime is 101242357. The reversal of 101242341 is 143242101.

It can be written as a sum of positive squares in 2 ways, for example, as 68409441 + 32832900 = 8271^2 + 5730^2 .

It is not a de Polignac number, because 101242341 - 210 = 101241317 is a prime.

It is a super-2 number, since 2×1012423412 = 20500023222320562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101242391) 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 11 ways as a sum of consecutive naturals, for example, 16560 + ... + 21833.

It is an arithmetic number, because the mean of its divisors is an integer number (12228489).

Almost surely, 2101242341 is an apocalyptic number.

It is an amenable number.

101242341 is a deficient number, since it is larger than the sum of its proper divisors (45499527).

101242341 is a wasteful number, since it uses less digits than its factorization.

101242341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38692 (or 38689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101242341 is about 10061.9253127818. The cubic root of 101242341 is about 466.0731233529.

Adding to 101242341 its reverse (143242101), we get a palindrome (244484442).

The spelling of 101242341 in words is "one hundred one million, two hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 293 879 2637 38393 115179 345537 11249149 33747447 101242341