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102022100101200 = 24352103123824437
BaseRepresentation
bin10111001100100111011111…
…000010010010100001010000
3111101020012212120101211202110
4113030213133002102201100
5101333012230111214300
61000552150013345320
730326565514332246
oct2714473702224120
9441205776354673
10102022100101200
112a564369884104
12b538696a98240
1344c08481a9b76
141b29c7885c796
15bbdc67aa0550
hex5cc9df092850

102022100101200 has 120 divisors (see below), whose sum is σ = 326814359535328. Its totient is φ = 27205596541440.

The previous prime is 102022100101199. The next prime is 102022100101241. The reversal of 102022100101200 is 2101001220201.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 123335382 + ... + 124159818.

Almost surely, 2102022100101200 is an apocalyptic number.

102022100101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022100101200 is an abundant number, since it is smaller than the sum of its proper divisors (224792259434128).

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

102022100101200 is a wasteful number, since it uses less digits than its factorization.

102022100101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927581 (or 927570 counting only the distinct ones).

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

Adding to 102022100101200 its reverse (2101001220201), we get a palindrome (104123101321401).

The spelling of 102022100101200 in words is "one hundred two trillion, twenty-two billion, one hundred million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 103123 206246 309369 412492 515615 618738 824437 824984 1031230 1237476 1546845 1648874 1649968 2062460 2473311 2474952 2578075 3093690 3297748 4122185 4124920 4946622 4949904 5156150 6187380 6595496 7734225 8244370 8249840 9893244 10312300 12366555 12374760 13190992 15468450 16488740 19786488 20610925 20624600 24733110 24749520 30936900 32977480 39572976 41221850 41249200 49466220 61832775 61873800 65954960 82443700 98932440 123665550 123747600 164887400 197864880 247331100 329774800 494662200 989324400 85018416751 170036833502 255055250253 340073667004 425092083755 510110500506 680147334008 850184167510 1020221001012 1275276251265 1360294668016 1700368335020 2040442002024 2125460418775 2550552502530 3400736670040 4080884004048 4250920837550 5101105005060 6376381256325 6801473340080 8501841675100 10202210010120 12752762512650 17003683350200 20404420020240 25505525025300 34007366700400 51011050050600 102022100101200