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104210004300 = 223522516172243
BaseRepresentation
bin110000100001101100…
…1100111100101001100
3100221222120111201102220
41201003121213211030
53201410230114200
6115512354015340
710346264264343
oct1410331474514
9327876451386
10104210004300
11402169156a6
1218243877550
139a99aabc4c
14508823cb5a
152a9db434a0
hex184366794c

104210004300 has 144 divisors (see below), whose sum is σ = 303341334912. Its totient is φ = 27621440000.

The previous prime is 104210004293. The next prime is 104210004307. The reversal of 104210004300 is 3400012401.

It is an interprime number because it is at equal distance from previous prime (104210004293) and next prime (104210004307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104210004300.

It is not an unprimeable number, because it can be changed into a prime (104210004307) 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, 46458979 + ... + 46461221.

It is an arithmetic number, because the mean of its divisors is an integer number (2106537048).

Almost surely, 2104210004300 is an apocalyptic number.

104210004300 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 104210004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151670667456).

104210004300 is an abundant number, since it is smaller than the sum of its proper divisors (199131330612).

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

104210004300 is a wasteful number, since it uses less digits than its factorization.

104210004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 104210004300 its reverse (3400012401), we get a palindrome (107610016701).

The spelling of 104210004300 in words is "one hundred four billion, two hundred ten million, four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 251 300 502 617 753 1004 1234 1255 1506 1851 2243 2468 2510 3012 3085 3702 3765 4486 5020 6170 6275 6729 7404 7530 8972 9255 11215 12340 12550 13458 15060 15425 18510 18825 22430 25100 26916 30850 33645 37020 37650 44860 46275 56075 61700 67290 75300 92550 112150 134580 154867 168225 185100 224300 309734 336450 464601 562993 619468 672900 774335 929202 1125986 1383931 1548670 1688979 1858404 2251972 2323005 2767862 2814965 3097340 3377958 3871675 4151793 4646010 5535724 5629930 6755916 6919655 7743350 8303586 8444895 9292020 11259860 11615025 13839310 14074825 15486700 16607172 16889790 20758965 23230050 27678620 28149650 33779580 34598275 41517930 42224475 46460100 56299300 69196550 83035860 84448950 103794825 138393100 168897900 207589650 347366681 415179300 694733362 1042100043 1389466724 1736833405 2084200086 3473666810 4168400172 5210500215 6947333620 8684167025 10421000430 17368334050 20842000860 26052501075 34736668100 52105002150 104210004300