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104301083100 = 223522323996301
BaseRepresentation
bin110000100100011010…
…1000011100111011100
3100222012220220000001210
41201020311003213130
53202102034124400
6115525410104420
710351451402244
oct1411065034734
9328186800053
10104301083100
1140263273535
121826a27b110
139ab291ac26
14509638ab24
152aa6b34950
hex1848d439dc

104301083100 has 144 divisors (see below), whose sum is σ = 315079833600. Its totient is φ = 26589024000.

The previous prime is 104301083083. The next prime is 104301083101. The reversal of 104301083100 is 1380103401.

It is a super-2 number, since 2×1043010831002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104301083101) 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 47 ways as a sum of consecutive naturals, for example, 16549950 + ... + 16556250.

It is an arithmetic number, because the mean of its divisors is an integer number (2188054400).

Almost surely, 2104301083100 is an apocalyptic number.

104301083100 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 104301083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157539916800).

104301083100 is an abundant number, since it is smaller than the sum of its proper divisors (210778750500).

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

104301083100 is a wasteful number, since it uses less digits than its factorization.

104301083100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 104301083100 its reverse (1380103401), we get a palindrome (105681186501).

The spelling of 104301083100 in words is "one hundred four billion, three hundred one million, eighty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 2399 3450 4798 6301 6900 7197 9596 11995 12602 14394 18903 23990 25204 28788 31505 35985 37806 47980 55177 59975 63010 71970 75612 94515 110354 119950 126020 143940 144923 157525 165531 179925 189030 220708 239900 275885 289846 315050 331062 359850 378060 434769 472575 551770 579692 630100 662124 719700 724615 827655 869538 945150 1103540 1379425 1449230 1655310 1739076 1890300 2173845 2758850 2898460 3310620 3623075 4138275 4347690 5517700 7246150 8276550 8695380 10869225 14492300 15116099 16553100 21738450 30232198 43476900 45348297 60464396 75580495 90696594 151160990 181393188 226741485 302321980 347670277 377902475 453482970 695340554 755804950 906965940 1043010831 1133707425 1390681108 1511609900 1738351385 2086021662 2267414850 3476702770 4172043324 4534829700 5215054155 6953405540 8691756925 10430108310 17383513850 20860216620 26075270775 34767027700 52150541550 104301083100