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2002220120100 = 2235223377842617
BaseRepresentation
bin11101001000101101100…
…111100111100000100100
321002102002011101122012110
4131020231213213200210
5230301021322320400
64131450205521020
7264440611133304
oct35105547474044
97072064348173
102002220120100
11702156072992
12284063573170
13116a684bb9c5
146cc9d687604
1537137d70e50
hex1d22d9e7824

2002220120100 has 144 divisors (see below), whose sum is σ = 6208341890688. Its totient is φ = 496908149760.

The previous prime is 2002220120071. The next prime is 2002220120129. The reversal of 2002220120100 is 10210222002.

It is an interprime number because it is at equal distance from previous prime (2002220120071) and next prime (2002220120129).

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, 3666009 + ... + 4176608.

It is an arithmetic number, because the mean of its divisors is an integer number (43113485352).

Almost surely, 22002220120100 is an apocalyptic number.

2002220120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002220120100 is an abundant number, since it is smaller than the sum of its proper divisors (4206121770588).

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

2002220120100 is a wasteful number, since it uses less digits than its factorization.

2002220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842694 (or 7842687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002220120100 its reverse (10210222002), we get a palindrome (2012430342102).

The spelling of 2002220120100 in words is "two trillion, two billion, two hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 37 46 50 60 69 74 75 92 100 111 115 138 148 150 185 222 230 276 300 345 370 444 460 555 575 690 740 851 925 1110 1150 1380 1702 1725 1850 2220 2300 2553 2775 3404 3450 3700 4255 5106 5550 6900 8510 10212 11100 12765 17020 21275 25530 42550 51060 63825 85100 127650 255300 7842617 15685234 23527851 31370468 39213085 47055702 78426170 94111404 117639255 156852340 180380191 196065425 235278510 290176829 360760382 392130850 470557020 541140573 580353658 588196275 721520764 784261700 870530487 901900955 1082281146 1160707316 1176392550 1450884145 1741060974 1803801910 2164562292 2352785100 2705702865 2901768290 3482121948 3607603820 4352652435 4509504775 5411405730 5803536580 6674067067 7254420725 8705304870 9019009550 10822811460 13348134134 13528514325 14508841450 17410609740 18038019100 20022201201 21763262175 26696268268 27057028650 29017682900 33370335335 40044402402 43526524350 54114057300 66740670670 80088804804 87053048700 100111006005 133481341340 166851676675 200222012010 333703353350 400444024020 500555030025 667406706700 1001110060050 2002220120100