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100244443134 = 231131449109121
BaseRepresentation
bin101110101011100001…
…0001100111111111110
3100120202012121100012010
41131113002030333332
53120300034140014
6114015054152050
710146102464463
oct1352702147776
9316665540163
10100244443134
1139571413920
12175177b2626
1395b7357a54
144bcd6d166a
15291a922359
hex175708cffe

100244443134 has 64 divisors (see below), whose sum is σ = 226275379200. Its totient is φ = 29331456000.

The previous prime is 100244443129. The next prime is 100244443157. The reversal of 100244443134 is 431344442001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864094 + ... + 973214.

It is an arithmetic number, because the mean of its divisors is an integer number (3535552800).

Almost surely, 2100244443134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100244443134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113137689600).

100244443134 is an abundant number, since it is smaller than the sum of its proper divisors (126030936066).

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

100244443134 is a wasteful number, since it uses less digits than its factorization.

100244443134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109617.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 100244443134 its reverse (431344442001), we get a palindrome (531588885135).

The spelling of 100244443134 in words is "one hundred billion, two hundred forty-four million, four hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 449 682 898 1023 1347 2046 2694 4939 9878 13919 14817 27838 29634 41757 83514 109121 153109 218242 306218 327363 459327 654726 918654 1200331 2400662 3382751 3600993 6765502 7201986 10148253 20296506 37210261 48995329 74420522 97990658 111630783 146985987 223261566 293971974 538948619 1077897238 1518855199 1616845857 3037710398 3233691714 4556565597 9113131194 16707407189 33414814378 50122221567 100244443134