Search a number
-
+
201044344104 = 233259275317191
BaseRepresentation
bin1011101100111100101…
…1010011110100101000
3201012221010101212021200
42323033023103310220
511243214323002404
6232205234004200
720345031505002
oct2731713236450
9635833355250
10201044344104
11782983223aa
1232b69416660
1315c5c7b4276
149a32a93372
155369eb4839
hex2ecf2d3d28

201044344104 has 96 divisors (see below), whose sum is σ = 553957185600. Its totient is φ = 65851176960.

The previous prime is 201044344087. The next prime is 201044344121. The reversal of 201044344104 is 401443440102.

201044344104 is a `hidden beast` number, since 20 + 104 + 434 + 4 + 104 = 666.

201044344104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201044344087) and next prime (201044344121).

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, 11686149 + ... + 11703339.

It is an arithmetic number, because the mean of its divisors is an integer number (5770387350).

Almost surely, 2201044344104 is an apocalyptic number.

201044344104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276978592800).

201044344104 is an abundant number, since it is smaller than the sum of its proper divisors (352912841496).

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

201044344104 is a wasteful number, since it uses less digits than its factorization.

201044344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20015 (or 20008 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201044344104 its reverse (401443440102), we get a palindrome (602487784206).

The spelling of 201044344104 in words is "two hundred one billion, forty-four million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 2753 4248 5506 8259 11012 16518 17191 22024 24777 33036 34382 49554 51573 66072 68764 99108 103146 137528 154719 162427 198216 206292 309438 324854 412584 487281 618876 649708 974562 1014269 1237752 1299416 1461843 1949124 2028538 2923686 3042807 3898248 4057076 5847372 6085614 8114152 9128421 11694744 12171228 18256842 24342456 36513684 47326823 73027368 94653646 141980469 189307292 283960938 378614584 425941407 567921876 851882814 1135843752 1703765628 2792282557 3407531256 5584565114 8376847671 11169130228 16753695342 22338260456 25130543013 33507390684 50261086026 67014781368 100522172052 201044344104