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104002530320 = 24513106194253
BaseRepresentation
bin110000011011100001…
…0001010110000010000
3100221110010002221122102
41200313002022300100
53200444121432240
6115440023055532
710341164631053
oct1406702126020
9327403087572
10104002530320
114011a7983a7
12181a62a15a8
139a65b08a90
145068872a9a
152a8a80e815
hex183708ac10

104002530320 has 80 divisors (see below), whose sum is σ = 260654535792. Its totient is φ = 38364334080.

The previous prime is 104002530319. The next prime is 104002530347. The reversal of 104002530320 is 23035200401.

It is a happy number.

104002530320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4128833536 + 99873696784 = 64256^2 + 316028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 = 104002530292 and 104002530301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056314 + ... + 1150566.

Almost surely, 2104002530320 is an apocalyptic number.

104002530320 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 104002530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130327267896).

104002530320 is an abundant number, since it is smaller than the sum of its proper divisors (156652005472).

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

104002530320 is a wasteful number, since it uses less digits than its factorization.

104002530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95340 (or 95334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 104002530320 its reverse (23035200401), we get a palindrome (127037730721).

The spelling of 104002530320 in words is "one hundred four billion, two million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1061 2122 4244 5305 8488 10610 13793 16976 21220 27586 42440 55172 68965 84880 94253 110344 137930 188506 220688 275860 377012 471265 551720 754024 942530 1103440 1225289 1508048 1885060 2450578 3770120 4901156 6126445 7540240 9802312 12252890 19604624 24505780 49011560 98023120 100002433 200004866 400009732 500012165 800019464 1000024330 1300031629 1600038928 2000048660 2600063258 4000097320 5200126516 6500158145 8000194640 10400253032 13000316290 20800506064 26000632580 52001265160 104002530320