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100121144 = 23139179503
BaseRepresentation
bin1011111011110…
…11101000111000
320222101200101112
411331323220320
5201112334034
613533535452
72324005244
oct575735070
9228350345
10100121144
1151574552
1229644588
13179869a6
14d423424
158bca7ce
hex5f7ba38

100121144 has 32 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 49324512.

The previous prime is 100121141. The next prime is 100121159. The reversal of 100121144 is 441121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198797 + ... + 199299.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2100121144 is an apocalyptic number.

It is an amenable number.

100121144 is a deficient number, since it is larger than the sum of its proper divisors (90390856).

100121144 is a wasteful number, since it uses less digits than its factorization.

100121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 100121144 is about 10006.0553666268. The cubic root of 100121144 is about 464.3462412699.

Adding to 100121144 its reverse (441121001), we get a palindrome (541242145).

The spelling of 100121144 in words is "one hundred million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 139 179 278 358 503 556 716 1006 1112 1432 2012 4024 24881 49762 69917 90037 99524 139834 180074 199048 279668 360148 559336 720296 12515143 25030286 50060572 100121144