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101243568 = 24317532341
BaseRepresentation
bin1100000100011…
…01101010110000
321001111201001210
412002031222300
5201404243233
614014000120
72336361516
oct602155260
9231451053
10101243568
1152170878
1229aa6040
1317c8a84a
14d6364b6
158d4d163
hex608dab0

101243568 has 80 divisors (see below), whose sum is σ = 282276576. Its totient is φ = 31150080.

The previous prime is 101243567. The next prime is 101243573. The reversal of 101243568 is 865342101.

It is a super-2 number, since 2×1012435682 = 20500520122741248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101243567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42078 + ... + 44418.

Almost surely, 2101243568 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 101243568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141138288).

101243568 is an abundant number, since it is smaller than the sum of its proper divisors (181033008).

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

101243568 is a wasteful number, since it uses less digits than its factorization.

101243568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 101243568 is about 10061.9862850234. The cubic root of 101243568 is about 466.0750061930.

Adding to 101243568 its reverse (865342101), we get a palindrome (966585669).

The spelling of 101243568 in words is "one hundred one million, two hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 1272 1802 2341 2544 2703 3604 4682 5406 7023 7208 9364 10812 14046 14416 18728 21624 28092 37456 39797 43248 56184 79594 112368 119391 124073 159188 238782 248146 318376 372219 477564 496292 636752 744438 955128 992584 1488876 1910256 1985168 2109241 2977752 4218482 5955504 6327723 8436964 12655446 16873928 25310892 33747856 50621784 101243568