Search a number
-
+
244103412100 = 225210723579679
BaseRepresentation
bin1110001101010110110…
…0100111100110000100
3212100001222122011011211
43203111230213212010
512444410433141400
6304050051141204
723431052524252
oct3432554474604
9770058564154
10244103412100
1194584015509
123b3858a4804
131a03255ca22
14bb596415d2
15653a30bdba
hex38d5b27984

244103412100 has 72 divisors (see below), whose sum is σ = 534937011840. Its totient is φ = 96677800320.

The previous prime is 244103412089. The next prime is 244103412107. The reversal of 244103412100 is 1214301442.

It is a happy number.

244103412100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (244103412107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25215061 + ... + 25224739.

It is an arithmetic number, because the mean of its divisors is an integer number (7429680720).

Almost surely, 2244103412100 is an apocalyptic number.

244103412100 is a gapful number since it is divisible by the number (20) 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 244103412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267468505920).

244103412100 is an abundant number, since it is smaller than the sum of its proper divisors (290833599740).

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

244103412100 is a wasteful number, since it uses less digits than its factorization.

244103412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 244103412100 its reverse (1214301442), we get a palindrome (245317713542).

The spelling of 244103412100 in words is "two hundred forty-four billion, one hundred three million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2357 2675 4714 5350 9428 9679 10700 11785 19358 23570 38716 47140 48395 58925 96790 117850 193580 235700 241975 252199 483950 504398 967900 1008796 1035653 1260995 2071306 2521990 4142612 5043980 5178265 6304975 10356530 12609950 20713060 22813403 25219900 25891325 45626806 51782650 91253612 103565300 114067015 228134030 456268060 570335075 1140670150 2281340300 2441034121 4882068242 9764136484 12205170605 24410341210 48820682420 61025853025 122051706050 244103412100