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101243324 = 227131914639
BaseRepresentation
bin1100000100011…
…01100110111100
321001111200201202
412002031212330
5201404241244
614013555032
72336361020
oct602154674
9231450652
10101243324
1152170676
1229aa5a78
1317c8a6c0
14d636380
158d4d04e
hex608d9bc

101243324 has 48 divisors (see below), whose sum is σ = 229555200. Its totient is φ = 37941696.

The previous prime is 101243299. The next prime is 101243333. The reversal of 101243324 is 423342101.

It is a junction number, because it is equal to n+sod(n) for n = 101243296 and 101243305.

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 15 ways as a sum of consecutive naturals, for example, 404 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (4782400).

Almost surely, 2101243324 is an apocalyptic number.

101243324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101243324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114777600).

101243324 is an abundant number, since it is smaller than the sum of its proper divisors (128311876).

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

101243324 is a wasteful number, since it uses less digits than its factorization.

101243324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 101243324 is about 10061.9741601735. The cubic root of 101243324 is about 466.0746317745.

Adding to 101243324 its reverse (423342101), we get a palindrome (524585425).

The spelling of 101243324 in words is "one hundred one million, two hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 6916 14639 29278 58556 102473 190307 204946 278141 380614 409892 556282 761228 1112564 1332149 1946987 2664298 3615833 3893974 5328596 7231666 7787948 14463332 25310831 50621662 101243324