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104303000120 = 235113673971627
BaseRepresentation
bin110000100100011110…
…0010111101000111000
3100222020001111101201112
41201020330113220320
53202103032000440
6115525515135452
710351503605234
oct1411074275070
9328201441645
10104303000120
1140264362850
121826aa44588
139ab313c667
1450967295c4
152aa6db2965
hex1848f17a38

104303000120 has 128 divisors (see below), whose sum is σ = 257518863360. Its totient is φ = 37706549760.

The previous prime is 104303000063. The next prime is 104303000147. The reversal of 104303000120 is 21000303401.

It is a junction number, because it is equal to n+sod(n) for n = 104303000095 and 104303000104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64106747 + ... + 64108373.

It is an arithmetic number, because the mean of its divisors is an integer number (2011866120).

Almost surely, 2104303000120 is an apocalyptic number.

104303000120 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 104303000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128759431680).

104303000120 is an abundant number, since it is smaller than the sum of its proper divisors (153215863240).

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

104303000120 is a wasteful number, since it uses less digits than its factorization.

104303000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 104303000120 its reverse (21000303401), we get a palindrome (125303303521).

The spelling of 104303000120 in words is "one hundred four billion, three hundred three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 367 397 440 734 794 1468 1588 1627 1835 1985 2936 3176 3254 3670 3970 4037 4367 6508 7340 7940 8074 8135 8734 13016 14680 15880 16148 16270 17468 17897 20185 21835 32296 32540 34936 35794 40370 43670 65080 71588 80740 87340 89485 143176 145699 161480 174680 178970 291398 357940 582796 597109 645919 715880 728495 1165592 1194218 1291838 1456990 1602689 2388436 2583676 2913980 2985545 3205378 3229595 4776872 5167352 5827960 5971090 6410756 6459190 6568199 7105109 8013445 11942180 12821512 12918380 13136398 14210218 16026890 23884360 25836760 26272796 28420436 32053780 32840995 35525545 52545592 56840872 64107560 65681990 71051090 131363980 142102180 237052273 262727960 284204360 474104546 948209092 1185261365 1896418184 2370522730 2607575003 4741045460 5215150006 9482090920 10430300012 13037875015 20860600024 26075750030 52151500060 104303000120