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104322300320 = 2557186150051
BaseRepresentation
bin110000100101000010…
…1111111100110100000
3100222021101210221121202
41201022011333212200
53202123002102240
6115531444540332
710352126631110
oct1411205774640
9328241727552
10104322300320
1140274245327
12182753b16a8
139ab71393b4
145099111040
152aa8926315
hex184a17f9a0

104322300320 has 96 divisors (see below), whose sum is σ = 281827195776. Its totient is φ = 35747712000.

The previous prime is 104322300307. The next prime is 104322300331. The reversal of 104322300320 is 23003223401.

It is a super-3 number, since 3×1043223003203 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104322300292 and 104322300301.

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 15 ways as a sum of consecutive naturals, for example, 2059295 + ... + 2109345.

It is an arithmetic number, because the mean of its divisors is an integer number (2935699956).

Almost surely, 2104322300320 is an apocalyptic number.

104322300320 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 104322300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140913597888).

104322300320 is an abundant number, since it is smaller than the sum of its proper divisors (177504895456).

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

104322300320 is a wasteful number, since it uses less digits than its factorization.

104322300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51934 (or 51926 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 104322300320 its reverse (23003223401), we get a palindrome (127325523721).

The spelling of 104322300320 in words is "one hundred four billion, three hundred twenty-two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1861 3722 7444 9305 13027 14888 18610 26054 29776 37220 50051 52108 59552 65135 74440 100102 104216 130270 148880 200204 208432 250255 260540 297760 350357 400408 416864 500510 521080 700714 800816 1001020 1042160 1401428 1601632 1751785 2002040 2084320 2802856 3503570 4004080 5605712 7007140 8008160 11211424 14014280 28028560 56057120 93144911 186289822 372579644 465724555 652014377 745159288 931449110 1304028754 1490318576 1862898220 2608057508 2980637152 3260071885 3725796440 5216115016 6520143770 7451592880 10432230032 13040287540 14903185760 20864460064 26080575080 52161150160 104322300320