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101297448 = 23327200987
BaseRepresentation
bin1100000100110…
…10110100101000
321001121102222100
412002122310220
5201413004243
614015053400
72340004560
oct602326450
9231542870
10101297448
11521a82aa
1229b11260
1317ca9225
14d64bda0
158d5e0d3
hex609ad28

101297448 has 48 divisors (see below), whose sum is σ = 313541280. Its totient is φ = 28941984.

The previous prime is 101297447. The next prime is 101297477. The reversal of 101297448 is 844792101.

It is a super-2 number, since 2×1012974482 = 20522345942625408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101297447) 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 11 ways as a sum of consecutive naturals, for example, 99990 + ... + 100997.

It is an arithmetic number, because the mean of its divisors is an integer number (6532110).

Almost surely, 2101297448 is an apocalyptic number.

101297448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101297448 is an abundant number, since it is smaller than the sum of its proper divisors (212243832).

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

101297448 is a wasteful number, since it uses less digits than its factorization.

101297448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201006 (or 200999 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 101297448 is about 10064.6633326704. The cubic root of 101297448 is about 466.1576704333.

The spelling of 101297448 in words is "one hundred one million, two hundred ninety-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 200987 401974 602961 803948 1205922 1406909 1607896 1808883 2411844 2813818 3617766 4220727 4823688 5627636 7235532 8441454 11255272 12662181 14471064 16882908 25324362 33765816 50648724 101297448