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104235310400 = 2652135011313
BaseRepresentation
bin110000100010011101…
…0001001110101000000
3100222001100010101212212
41201010322021311000
53201433214413100
6115515100241252
710350022343144
oct1410472116500
9328040111785
10104235310400
114022a12a531
1218250240228
139aa20cc580
14508b749224
152aa0e91635
hex1844e89d40

104235310400 has 84 divisors (see below), whose sum is σ = 276213605052. Its totient is φ = 38486876160.

The previous prime is 104235310381. The next prime is 104235310423. The reversal of 104235310400 is 4013532401.

It can be written as a sum of positive squares in 6 ways, for example, as 20519989504 + 83715320896 = 143248^2 + 289336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2484857 + ... + 2526456.

It is an arithmetic number, because the mean of its divisors is an integer number (3288257203).

Almost surely, 2104235310400 is an apocalyptic number.

104235310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104235310400 is an abundant number, since it is smaller than the sum of its proper divisors (171978294652).

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

104235310400 is a wasteful number, since it uses less digits than its factorization.

104235310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011348 (or 5011333 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 104235310400 its reverse (4013532401), we get a palindrome (108248842801).

The spelling of 104235310400 in words is "one hundred four billion, two hundred thirty-five million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 5011313 10022626 20045252 25056565 40090504 50113130 65147069 80181008 100226260 125282825 130294138 160362016 200452520 250565650 260588276 320724032 325735345 400905040 501131300 521176552 651470690 801810080 1002262600 1042353104 1302941380 1603620160 1628676725 2004525200 2084706208 2605882760 3257353450 4009050400 4169412416 5211765520 6514706900 8018100800 10423531040 13029413800 20847062080 26058827600 52117655200 104235310400