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101330424 = 233213731483
BaseRepresentation
bin1100000101000…
…10110111111000
321001200010012200
412002202313320
5201420033144
614015510200
72340202656
oct602426770
9231603180
10101330424
1152220058
1229b28360
1317cbb240
14d659dd6
158d68c69
hex60a2df8

101330424 has 96 divisors (see below), whose sum is σ = 299797680. Its totient is φ = 30730752.

The previous prime is 101330357. The next prime is 101330441. The reversal of 101330424 is 424033101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101330397 and 101330406.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67587 + ... + 69069.

Almost surely, 2101330424 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 101330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149898840).

101330424 is an abundant number, since it is smaller than the sum of its proper divisors (198467256).

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

101330424 is a wasteful number, since it uses less digits than its factorization.

101330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101330424 is about 10066.3014061769. The cubic root of 101330424 is about 466.2082486986.

Adding to 101330424 its reverse (424033101), we get a palindrome (525363525).

The spelling of 101330424 in words is "one hundred one million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 876 936 949 1314 1483 1752 1898 2628 2847 2966 3796 4449 5256 5694 5932 7592 8541 8898 11388 11864 13347 17082 17796 19279 22776 26694 34164 35592 38558 53388 57837 68328 77116 106776 108259 115674 154232 173511 216518 231348 324777 347022 433036 462696 649554 694044 866072 974331 1299108 1388088 1407367 1948662 2598216 2814734 3897324 4222101 5629468 7794648 8444202 11258936 12666303 16888404 25332606 33776808 50665212 101330424