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204101003231304 = 233411035093956353
BaseRepresentation
bin101110011010000011110111…
…110010111100000001001000
3222202122212100211201112101020
4232122003313302330001020
5203222442323311400204
62002030412333152440
760663545061526014
oct5632036762740110
9882585324645336
10204101003231304
115a03a8274705a3
121aa8418502b720
1389b6846695c2a
143858781333544
15188e2073a2bd9
hexb9a0f7cbc048

204101003231304 has 128 divisors (see below), whose sum is σ = 528809440723200. Its totient is φ = 65600747274240.

The previous prime is 204101003231273. The next prime is 204101003231327. The reversal of 204101003231304 is 403132300101402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49609992 + ... + 53566344.

It is an arithmetic number, because the mean of its divisors is an integer number (4131323755650).

Almost surely, 2204101003231304 is an apocalyptic number.

204101003231304 is a gapful number since it is divisible by the number (24) 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 204101003231304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264404720361600).

204101003231304 is an abundant number, since it is smaller than the sum of its proper divisors (324708437491896).

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

204101003231304 is a wasteful number, since it uses less digits than its factorization.

204101003231304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957015 (or 3957011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 204101003231304 its reverse (403132300101402), we get a palindrome (607233303332706).

The spelling of 204101003231304 in words is "two hundred four trillion, one hundred one billion, three million, two hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 103 123 164 206 246 309 328 412 492 509 618 824 984 1018 1236 1527 2036 2472 3054 4072 4223 6108 8446 12216 12669 16892 20869 25338 33784 41738 50676 52427 62607 83476 101352 104854 125214 157281 166952 209708 250428 314562 419416 500856 629124 1258248 2149507 3956353 4299014 6448521 7912706 8598028 11869059 12897042 15825412 17196056 23738118 25794084 31650824 47476236 51588168 94952472 162210473 324420946 407504359 486631419 648841892 815008718 973262838 1222513077 1297683784 1630017436 1946525676 2013783677 2445026154 3260034872 3893051352 4027567354 4890052308 6041351031 8055134708 9780104616 12082702062 16110269416 16707678719 24165404124 33415357438 48330808248 50123036157 66830714876 82565130757 100246072314 133661429752 165130261514 200492144628 207419718731 247695392271 330260523028 400984289256 414839437462 495390784542 622259156193 660521046056 829678874924 990781569084 1244518312386 1659357749848 1981563138168 2489036624772 4978073249544 8504208467971 17008416935942 25512625403913 34016833871884 51025250807826 68033667743768 102050501615652 204101003231304