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2202002012120 = 2351013531544051
BaseRepresentation
bin100000000010110001100…
…011000011011111011000
321210111202022021021210112
4200002301203003133120
5242034200003341440
64403330305103452
7315042443164061
oct40026143033730
97714668237715
102202002012120
11779955803359
122b691a027b88
1312c8565836b1
14788127d1568
153c42c0b0965
hex200b18c37d8

2202002012120 has 64 divisors (see below), whose sum is σ = 5017736665440. Its totient is φ = 869608960000.

The previous prime is 2202002012083. The next prime is 2202002012123. The reversal of 2202002012120 is 212102002022.

It is a super-2 number, since 2×22020020121202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202002012095 and 2202002012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202002012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654095 + ... + 2198145.

Almost surely, 22202002012120 is an apocalyptic number.

2202002012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202002012120 is an abundant number, since it is smaller than the sum of its proper divisors (2815734653320).

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

2202002012120 is a wasteful number, since it uses less digits than its factorization.

2202002012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544516 (or 1544512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202002012120 its reverse (212102002022), we get a palindrome (2414104014142).

The spelling of 2202002012120 in words is "two trillion, two hundred two billion, two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 353 404 505 706 808 1010 1412 1765 2020 2824 3530 4040 7060 14120 35653 71306 142612 178265 285224 356530 713060 1426120 1544051 3088102 6176204 7720255 12352408 15440510 30881020 61762040 155949151 311898302 545050003 623796604 779745755 1090100006 1247593208 1559491510 2180200012 2725250015 3118983020 4360400024 5450500030 6237966040 10901000060 21802000120 55050050303 110100100606 220200201212 275250251515 440400402424 550500503030 1101001006060 2202002012120