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101124468 = 223223122131
BaseRepresentation
bin1100000011100…
…00100101110100
321001021122200200
412001300211310
5201341440333
614011240500
72335354344
oct601604564
9231248620
10101124468
115209a345
1229a49130
1317c48583
14d604d24
158d27c13
hex6070974

101124468 has 36 divisors (see below), whose sum is σ = 266736288. Its totient is φ = 32242320.

The previous prime is 101124451. The next prime is 101124469. The reversal of 101124468 is 864421101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101124469) 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, 60238 + ... + 61893.

Almost surely, 2101124468 is an apocalyptic number.

101124468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101124468 is an abundant number, since it is smaller than the sum of its proper divisors (165611820).

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

101124468 is a wasteful number, since it uses less digits than its factorization.

101124468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122164 (or 122159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101124468 is about 10056.0662288989. The cubic root of 101124468 is about 465.8921754375.

Adding to 101124468 its reverse (864421101), we get a palindrome (965545569).

The spelling of 101124468 in words is "one hundred one million, one hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 122131 244262 366393 488524 732786 1099179 1465572 2198358 2809013 4396716 5618026 8427039 11236052 16854078 25281117 33708156 50562234 101124468