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10004203214300 = 22521914791093487
BaseRepresentation
bin1001000110010100100011…
…1110101001010111011100
31022102101121010022122220002
42101211020332221113130
52302402102010324200
633135511214313432
72051531324153351
oct221451076512734
938371533278802
1010004203214300
1132078389a6149
121156a6b4b8878
13577513bbb289
142682c5460628
15125373e59bd5
hex91948fa95dc

10004203214300 has 72 divisors (see below), whose sum is σ = 21868360335360. Its totient is φ = 3972415940800.

The previous prime is 10004203214293. The next prime is 10004203214347. The reversal of 10004203214300 is 341230240001.

10004203214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8602157 + ... + 9695643.

It is an arithmetic number, because the mean of its divisors is an integer number (303727226880).

Almost surely, 210004203214300 is an apocalyptic number.

10004203214300 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 10004203214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10934180167680).

10004203214300 is an abundant number, since it is smaller than the sum of its proper divisors (11864157121060).

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

10004203214300 is a wasteful number, since it uses less digits than its factorization.

10004203214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094171 (or 1094164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10004203214300 its reverse (341230240001), we get a palindrome (10345433454301).

The spelling of 10004203214300 in words is "ten trillion, four billion, two hundred three million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 479 764 955 958 1910 1916 2395 3820 4775 4790 9550 9580 11975 19100 23950 47900 91489 182978 365956 457445 914890 1093487 1829780 2186974 2287225 4373948 4574450 5467435 9148900 10934870 21869740 27337175 54674350 109348700 208856017 417712034 523780273 835424068 1044280085 1047560546 2088560170 2095121092 2618901365 4177120340 5221400425 5237802730 10442800850 10475605460 13094506825 20885601700 26189013650 52378027300 100042032143 200084064286 400168128572 500210160715 1000420321430 2000840642860 2501050803575 5002101607150 10004203214300