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2210003131220 = 225792149331359
BaseRepresentation
bin100000001010001110011…
…100111001101101010100
321211021101220210020210222
4200022032130321231110
5242202041300144340
64411132244533512
7315444636444653
oct40121634715524
97737356706728
102210003131220
11782291175585
122b83916b1298
131305300c8cb1
1478d712ab19a
153c74972c8b5
hex2028e739b54

2210003131220 has 144 divisors (see below), whose sum is σ = 4759561296000. Its totient is φ = 861926757120.

The previous prime is 2210003131207. The next prime is 2210003131267. The reversal of 2210003131220 is 221313000122.

It is a super-2 number, since 2×22100031312202 (a number of 25 digits) contains 22 as substring.

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, 6155997401 + ... + 6155997759.

It is an arithmetic number, because the mean of its divisors is an integer number (33052509000).

Almost surely, 22210003131220 is an apocalyptic number.

2210003131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210003131220 is an abundant number, since it is smaller than the sum of its proper divisors (2549558164780).

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

2210003131220 is a wasteful number, since it uses less digits than its factorization.

2210003131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2210003131220 its reverse (221313000122), we get a palindrome (2431316131342).

The spelling of 2210003131220 in words is "two trillion, two hundred ten billion, three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 149 158 298 316 331 359 395 596 662 718 745 790 1324 1436 1490 1580 1655 1795 2980 3310 3590 6241 6620 7180 11771 12482 23542 24964 26149 28361 31205 47084 49319 52298 53491 56722 58855 62410 98638 104596 106982 113444 117710 118829 124820 130745 141805 197276 213964 235420 237658 246595 261490 267455 283610 475316 493190 522980 534910 567220 594145 929909 986380 1069820 1188290 1859818 2065771 2240519 2376580 3719636 3896201 4131542 4225789 4481038 4649545 7792402 8263084 8451578 8962076 9299090 9387491 10328855 11202595 15584804 16903156 17705521 18598180 18774982 19481005 20657710 21128945 22405190 35411042 37549964 38962010 41315420 42257890 44810380 46937455 70822084 77924020 84515780 88527605 93874910 177055210 187749820 307799879 333837331 354110420 615599758 667674662 741611789 1231199516 1335349324 1398736159 1483223578 1538999395 1669186655 2797472318 2966447156 3077998790 3338373310 3708058945 5594944636 6155997580 6676746620 6993680795 7416117890 13987361590 14832235780 27974723180 110500156561 221000313122 442000626244 552500782805 1105001565610 2210003131220