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10231324424200 = 23521122423174487
BaseRepresentation
bin1001010011100010101001…
…1101010011100000001000
31100020002211120221120011001
42110320222131103200020
52320112223023033300
633432112222144344
72104121520454225
oct224705235234010
940202746846131
1010231324424200
1132950979a8800
121192a95a220b4
13592a6b049839
142752ad4d694c
1512b21840816a
hex94e2a753808

10231324424200 has 144 divisors (see below), whose sum is σ = 26157893912640. Its totient is φ = 3718924809600.

The previous prime is 10231324424177. The next prime is 10231324424207. The reversal of 10231324424200 is 242442313201.

It is not an unprimeable number, because it can be changed into a prime (10231324424207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58549357 + ... + 58723843.

It is an arithmetic number, because the mean of its divisors is an integer number (181652041060).

Almost surely, 210231324424200 is an apocalyptic number.

10231324424200 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 10231324424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078946956320).

10231324424200 is an abundant number, since it is smaller than the sum of its proper divisors (15926569488440).

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

10231324424200 is a wasteful number, since it uses less digits than its factorization.

10231324424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176948 (or 176928 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10231324424200 its reverse (242442313201), we get a palindrome (10473766737401).

The spelling of 10231324424200 in words is "ten trillion, two hundred thirty-one billion, three hundred twenty-four million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 2423 3025 4840 4846 6050 9692 12100 12115 19384 24200 24230 26653 48460 53306 60575 96920 106612 121150 133265 174487 213224 242300 266530 293183 348974 484600 533060 586366 666325 697948 872435 1066120 1172732 1332650 1395896 1465915 1744870 1919357 2345464 2665300 2931830 3489740 3838714 4362175 5330600 5863660 6979480 7329575 7677428 8724350 9596785 11727320 14659150 15354856 17448700 19193570 21112927 29318300 34897400 38387140 42225854 47983925 58636600 76774280 84451708 95967850 105564635 168903416 191935700 211129270 383871400 422258540 422782001 527823175 844517080 845564002 1055646350 1691128004 2111292700 2113910005 3382256008 4222585400 4227820010 4650602011 8455640020 9301204022 10569550025 16911280040 18602408044 21139100050 23253010055 37204816088 42278200100 46506020110 51156622121 84556400200 93012040220 102313244242 116265050275 186024080440 204626488484 232530100550 255783110605 409252976968 465060201100 511566221210 930120402200 1023132442420 1278915553025 2046264884840 2557831106050 5115662212100 10231324424200