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101212144 = 24112232273
BaseRepresentation
bin1100000100001…
…01111111110000
321001110002221221
412002011333300
5201402242034
614013154424
72336201065
oct602057760
9231402857
10101212144
115214a200
1229a8ba14
1317c79457
14d628c6c
158d43bb4
hex6085ff0

101212144 has 60 divisors (see below), whose sum is σ = 225016848. Its totient is φ = 43985920.

The previous prime is 101212141. The next prime is 101212207. The reversal of 101212144 is 441212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43392 + ... + 45664.

Almost surely, 2101212144 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 101212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112508424).

101212144 is an abundant number, since it is smaller than the sum of its proper divisors (123804704).

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

101212144 is a wasteful number, since it uses less digits than its factorization.

101212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 101212144 is about 10060.4246431252. The cubic root of 101212144 is about 466.0267810503.

Adding to 101212144 its reverse (441212101), we get a palindrome (542424245).

The spelling of 101212144 in words is "one hundred one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1936 2024 2273 2783 4048 4546 5566 9092 11132 18184 22264 25003 36368 44528 50006 52279 100012 104558 200024 209116 275033 400048 418232 550066 575069 836464 1100132 1150138 2200264 2300276 4400528 4600552 6325759 9201104 12651518 25303036 50606072 101212144