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104202101100 = 223522931386363
BaseRepresentation
bin110000100001011101…
…1011110000101101100
3100221222000122012021210
41201002323132011230
53201401214213400
6115511512354420
710346140150056
oct1410273360554
9327860565253
10104202101100
1140212407929
12182410a5a10
139a982728b6
1450871828d6
152a9d0d1950
hex1842ede16c

104202101100 has 144 divisors (see below), whose sum is σ = 321949393920. Its totient is φ = 25963526400.

The previous prime is 104202101099. The next prime is 104202101119. The reversal of 104202101100 is 1101202401.

It is a happy number.

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

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, 76519 + ... + 462881.

It is an arithmetic number, because the mean of its divisors is an integer number (2235759680).

Almost surely, 2104202101100 is an apocalyptic number.

104202101100 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 104202101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160974696960).

104202101100 is an abundant number, since it is smaller than the sum of its proper divisors (217747292820).

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

104202101100 is a wasteful number, since it uses less digits than its factorization.

104202101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386440 (or 386433 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 104202101100 its reverse (1101202401), we get a palindrome (105303303501).

The spelling of 104202101100 in words is "one hundred four billion, two hundred two million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 58 60 62 75 87 93 100 116 124 145 150 155 174 186 290 300 310 348 372 435 465 580 620 725 775 870 899 930 1450 1550 1740 1798 1860 2175 2325 2697 2900 3100 3596 4350 4495 4650 5394 8700 8990 9300 10788 13485 17980 22475 26970 44950 53940 67425 89900 134850 269700 386363 772726 1159089 1545452 1931815 2318178 3863630 4636356 5795445 7727260 9659075 11204527 11590890 11977253 19318150 22409054 23181780 23954506 28977225 33613581 35931759 38636300 44818108 47909012 56022635 57954450 59886265 67227162 71863518 112045270 115908900 119772530 134454324 143727036 168067905 179658795 224090540 239545060 280113175 299431325 336135810 347340337 359317590 560226350 598862650 672271620 694680674 718635180 840339525 898293975 1042021011 1120452700 1197725300 1389361348 1680679050 1736701685 1796587950 2084042022 3361358100 3473403370 3593175900 4168084044 5210105055 6946806740 8683508425 10420210110 17367016850 20840420220 26050525275 34734033700 52101050550 104202101100