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121321130100 = 223529719721163
BaseRepresentation
bin111000011111101001…
…1011000100001110100
3102121011002002222021220
41300333103120201310
53441431202130400
6131422324510340
711523310406442
oct1607723304164
9377132088256
10121321130100
11474a7684785
121b61a24b3b0
13b595b0cc61
145c2c9a7b92
153250e6b7a0
hex1c3f4d8874

121321130100 has 144 divisors (see below), whose sum is σ = 356458310208. Its totient is φ = 31854735360.

The previous prime is 121321130093. The next prime is 121321130123. The reversal of 121321130100 is 1031123121.

It is a happy number.

It is a super-2 number, since 2×1213211301002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121321130100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5722119 + ... + 5743281.

It is an arithmetic number, because the mean of its divisors is an integer number (2475404932).

Almost surely, 2121321130100 is an apocalyptic number.

121321130100 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 121321130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178229155104).

121321130100 is an abundant number, since it is smaller than the sum of its proper divisors (235137180108).

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

121321130100 is a wasteful number, since it uses less digits than its factorization.

121321130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474 (or 21467 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121321130100 its reverse (1031123121), we get a palindrome (122352253221).

The spelling of 121321130100 in words is "one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 197 291 300 388 394 485 582 591 788 970 985 1164 1182 1455 1940 1970 2364 2425 2910 2955 3940 4850 4925 5820 5910 7275 9700 9850 11820 14550 14775 19109 19700 21163 29100 29550 38218 42326 57327 59100 63489 76436 84652 95545 105815 114654 126978 191090 211630 229308 253956 286635 317445 382180 423260 477725 529075 573270 634890 955450 1058150 1146540 1269780 1433175 1587225 1910900 2052811 2116300 2866350 3174450 4105622 4169111 5732700 6158433 6348900 8211244 8338222 10264055 12316866 12507333 16676444 20528110 20845555 24633732 25014666 30792165 41056220 41691110 50029332 51320275 61584330 62536665 83382220 102640550 104227775 123168660 125073330 153960825 205281100 208455550 250146660 307921650 312683325 404403767 416911100 615843300 625366650 808807534 1213211301 1250733300 1617615068 2022018835 2426422602 4044037670 4852845204 6066056505 8088075340 10110094175 12132113010 20220188350 24264226020 30330282525 40440376700 60660565050 121321130100