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10321101300 = 22352474191747
BaseRepresentation
bin10011001110010111…
…11000000111110100
3222122021222021022010
421213023320013310
5132114200220200
64424053004220
7513523625226
oct114713700764
928567867263
1010321101300
114416aa1194
122000623670
13c86395a43
146dca6a416
15406189150
hex2672f81f4

10321101300 has 144 divisors (see below), whose sum is σ = 30588042240. Its totient is φ = 2685767040.

The previous prime is 10321101299. The next prime is 10321101313. The reversal of 10321101300 is 310112301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5907027 + ... + 5908773.

It is an arithmetic number, because the mean of its divisors is an integer number (212416960).

Almost surely, 210321101300 is an apocalyptic number.

10321101300 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 10321101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294021120).

10321101300 is an abundant number, since it is smaller than the sum of its proper divisors (20266940940).

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

10321101300 is a wasteful number, since it uses less digits than its factorization.

10321101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10321101300 its reverse (310112301), we get a palindrome (10631213601).

The spelling of 10321101300 in words is "ten billion, three hundred twenty-one million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 419 470 564 705 838 940 1175 1257 1410 1676 1747 2095 2350 2514 2820 3494 3525 4190 4700 5028 5241 6285 6988 7050 8380 8735 10475 10482 12570 14100 17470 19693 20950 20964 25140 26205 31425 34940 39386 41900 43675 52410 59079 62850 78772 82109 87350 98465 104820 118158 125700 131025 164218 174700 196930 236316 246327 262050 295395 328436 393860 410545 492325 492654 524100 590790 731993 821090 984650 985308 1181580 1231635 1463986 1476975 1642180 1969300 2052725 2195979 2463270 2927972 2953950 3659965 4105450 4391958 4926540 5907900 6158175 7319930 8210900 8783916 10979895 12316350 14639860 18299825 21959790 24632700 34403671 36599650 43919580 54899475 68807342 73199300 103211013 109798950 137614684 172018355 206422026 219597900 344036710 412844052 516055065 688073420 860091775 1032110130 1720183550 2064220260 2580275325 3440367100 5160550650 10321101300