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101144424 = 233171571579
BaseRepresentation
bin1100000011101…
…01011101101000
321001022200001210
412001311131220
5201343110144
614011513120
72335466463
oct601653550
9231280053
10101144424
1152103337
1229a587a0
1317c54694
14d60c2da
158d2dab9
hex6075768

101144424 has 64 divisors (see below), whose sum is σ = 269611200. Its totient is φ = 31509504.

The previous prime is 101144419. The next prime is 101144437. The reversal of 101144424 is 424441101.

It is a self number, because there is not a number n which added to its sum of digits gives 101144424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63267 + ... + 64845.

It is an arithmetic number, because the mean of its divisors is an integer number (4212675).

Almost surely, 2101144424 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 101144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134805600).

101144424 is an abundant number, since it is smaller than the sum of its proper divisors (168466776).

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

101144424 is a wasteful number, since it uses less digits than its factorization.

101144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 101144424 is about 10057.0584168533. The cubic root of 101144424 is about 465.9228199588.

Adding to 101144424 its reverse (424441101), we get a palindrome (525585525).

The spelling of 101144424 in words is "one hundred one million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 157 204 314 408 471 628 942 1256 1579 1884 2669 3158 3768 4737 5338 6316 8007 9474 10676 12632 16014 18948 21352 26843 32028 37896 53686 64056 80529 107372 161058 214744 247903 322116 495806 644232 743709 991612 1487418 1983224 2974836 4214351 5949672 8428702 12643053 16857404 25286106 33714808 50572212 101144424