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2202000120100 = 2252112181983481
BaseRepresentation
bin100000000010110001011…
…011110101100100100100
321210111202011201011102201
4200002301123311210210
5242034144012320400
64403330200344244
7315042421124014
oct40026133654444
97714664634381
102202000120100
11779954730900
122b6919475084
1312c856070461
147881245bc44
153c42bd3a06a
hex200b16f5924

2202000120100 has 54 divisors (see below), whose sum is σ = 5252225274002. Its totient is φ = 800727312000.

The previous prime is 2202000120077. The next prime is 2202000120139. The reversal of 2202000120100 is 10210002022.

It can be written as a sum of positive squares in 3 ways, for example, as 345762816256 + 1856237303844 = 588016^2 + 1362438^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 90979641 + ... + 91003840.

Almost surely, 22202000120100 is an apocalyptic number.

2202000120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202000120100 is an abundant number, since it is smaller than the sum of its proper divisors (3050225153902).

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

2202000120100 is a wasteful number, since it uses less digits than its factorization.

2202000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181983517 (or 181983499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2202000120100 its reverse (10210002022), we get a palindrome (2212210122122).

The spelling of 2202000120100 in words is "two trillion, two hundred two billion, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 181983481 363966962 727933924 909917405 1819834810 2001818291 3639669620 4003636582 4549587025 8007273164 9099174050 10009091455 18198348100 20018182910 22020001201 40036365820 44040002402 50045457275 88080004804 100090914550 110100006005 200181829100 220200012010 440400024020 550500030025 1101000060050 2202000120100