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101424114 = 232111373739
BaseRepresentation
bin1100000101110…
…01101111110010
321001211212201200
412002321233302
5201431032424
614021512030
72341043061
oct602715762
9231755650
10101424114
1152284490
1229b72616
1318021a8c
14d6821d8
158d868c9
hex60b9bf2

101424114 has 48 divisors (see below), whose sum is σ = 241544160. Its totient is φ = 30502080.

The previous prime is 101424101. The next prime is 101424137. The reversal of 101424114 is 411424101.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25257 + ... + 28995.

It is an arithmetic number, because the mean of its divisors is an integer number (5032170).

Almost surely, 2101424114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101424114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120772080).

101424114 is an abundant number, since it is smaller than the sum of its proper divisors (140120046).

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

101424114 is a wasteful number, since it uses less digits than its factorization.

101424114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101424114 is about 10070.9539766598. The cubic root of 101424114 is about 466.3518896511.

Adding to 101424114 its reverse (411424101), we get a palindrome (512848215).

The spelling of 101424114 in words is "one hundred one million, four hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 3739 4521 7478 9042 11217 13563 22434 27126 33651 41129 67302 82258 123387 246774 370161 512243 740322 1024486 1536729 3073458 4610187 5634673 9220374 11269346 16904019 33808038 50712057 101424114