Search a number
-
+
10243104110300 = 22521767791138363
BaseRepresentation
bin1001010100001110100010…
…0101001111011011011100
31100021020020112111121122102
42111003220211033123130
52320310334123012200
633441341141504232
72105016445236335
oct225035045173334
940236215447572
1010243104110300
11329a092262276
121195222a12078
13593bc7663ab9
14275aa9b6528c
1512b6a765a6d5
hex950e894f6dc

10243104110300 has 144 divisors (see below), whose sum is σ = 24188686824960. Its totient is φ = 3750584048640.

The previous prime is 10243104110209. The next prime is 10243104110321. The reversal of 10243104110300 is 301140134201.

10243104110300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8428919 + ... + 9567281.

It is an arithmetic number, because the mean of its divisors is an integer number (167976991840).

Almost surely, 210243104110300 is an apocalyptic number.

10243104110300 is a gapful number since it is divisible by the number (10) 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 10243104110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094343412480).

10243104110300 is an abundant number, since it is smaller than the sum of its proper divisors (13945582714660).

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

10243104110300 is a wasteful number, since it uses less digits than its factorization.

10243104110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138540 (or 1138533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10243104110300 its reverse (301140134201), we get a palindrome (10544244244501).

The spelling of 10243104110300 in words is "ten trillion, two hundred forty-three billion, one hundred four million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 79 85 100 134 158 170 268 316 335 340 395 425 670 790 850 1139 1340 1343 1580 1675 1700 1975 2278 2686 3350 3950 4556 5293 5372 5695 6700 6715 7900 10586 11390 13430 21172 22780 26465 26860 28475 33575 52930 56950 67150 89981 105860 113900 132325 134300 179962 264650 359924 449905 529300 899810 1138363 1799620 2249525 2276726 4499050 4553452 5691815 8998100 11383630 19352171 22767260 28459075 38704342 56918150 76270321 77408684 89930677 96760855 113836300 152540642 179861354 193521710 305081284 359722708 381351605 387043420 449653385 483804275 762703210 899306770 967608550 1296595457 1525406420 1528821509 1798613540 1906758025 1935217100 2248266925 2593190914 3057643018 3813516050 4496533850 5186381828 6025355359 6115286036 6482977285 7627032100 7644107545 8993067700 12050710718 12965954570 15288215090 24101421436 25931909140 30126776795 30576430180 32414886425 38220537725 60253553590 64829772850 76441075450 102431041103 120507107180 129659545700 150633883975 152882150900 204862082206 301267767950 409724164412 512155205515 602535535900 1024310411030 2048620822060 2560776027575 5121552055150 10243104110300