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10220001001200 = 243352946296389
BaseRepresentation
bin1001010010111000011110…
…0001110111111011110000
31100012000121102221001222000
42110232013201313323300
52314421030224014300
633423000442014000
72103241103115204
oct224560741677360
940160542831860
1010220001001200
113290307148481
1211908557a7300
13591985112c43
142749176b6b04
1512aca427ec00
hex94b87877ef0

10220001001200 has 120 divisors (see below), whose sum is σ = 36375633231600. Its totient is φ = 2725333597440.

The previous prime is 10220001001151. The next prime is 10220001001229. The reversal of 10220001001200 is 210010002201.

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 (9).

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, 473137395 + ... + 473158994.

It is an arithmetic number, because the mean of its divisors is an integer number (303130276930).

Almost surely, 210220001001200 is an apocalyptic number.

10220001001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220001001200 is an abundant number, since it is smaller than the sum of its proper divisors (26155632230400).

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

10220001001200 is a wasteful number, since it uses less digits than its factorization.

10220001001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946296416 (or 946296399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220001001200 its reverse (210010002201), we get a palindrome (10430011003401).

The spelling of 10220001001200 in words is "ten trillion, two hundred twenty billion, one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 946296389 1892592778 2838889167 3785185556 4731481945 5677778334 7570371112 8516667501 9462963890 11355556668 14194445835 15140742224 17033335002 18925927780 22711113336 23657409725 25550002503 28388891670 34066670004 37851855560 42583337505 45422226672 47314819450 51100005006 56777783340 68133340008 70972229175 75703711120 85166675010 94629638900 102200010012 113555566680 127750012515 136266680016 141944458350 170333350020 189259277800 204400020024 212916687525 227111133360 255500025030 283888916700 340666700040 378518555600 408800040048 425833375050 511000050060 567777833400 638750062575 681333400080 851666750100 1022000100120 1135555666800 1277500125150 1703333500200 2044000200240 2555000250300 3406667000400 5110000500600 10220001001200