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2200011332121 = 3237151181241727
BaseRepresentation
bin100000000000111010111…
…001001101101000011001
321210022121120110021012200
4200000322321031220121
5242021110400111441
64402400554000413
7314642221530231
oct40007271155031
97708546407180
102200011332121
11779024051a79
122b6463416109
1312c5ca020535
14786a4280cc1
153c36243e7b6
hex2003ae4da19

2200011332121 has 48 divisors (see below), whose sum is σ = 3303458715648. Its totient is φ = 1409746032000.

The previous prime is 2200011332111. The next prime is 2200011332153. The reversal of 2200011332121 is 1212331100022.

2200011332121 is a `hidden beast` number, since 2 + 200 + 0 + 11 + 332 + 121 = 666.

It is not a de Polignac number, because 2200011332121 - 25 = 2200011332089 is a prime.

It is a super-2 number, since 2×22000113321212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200011332094 and 2200011332103.

It is not an unprimeable number, because it can be changed into a prime (2200011332111) 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 47 ways as a sum of consecutive naturals, for example, 8980360 + ... + 9222086.

It is an arithmetic number, because the mean of its divisors is an integer number (68822056576).

Almost surely, 22200011332121 is an apocalyptic number.

It is an amenable number.

2200011332121 is a deficient number, since it is larger than the sum of its proper divisors (1103447383527).

2200011332121 is a wasteful number, since it uses less digits than its factorization.

2200011332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242102 (or 242099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2200011332121 its reverse (1212331100022), we get a palindrome (3412342432143).

The spelling of 2200011332121 in words is "two trillion, two hundred billion, eleven million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 151 181 333 453 543 1359 1629 5587 6697 16761 20091 27331 50283 60273 81993 241727 245979 725181 1011247 2175543 3033741 8943899 9101223 26831697 36500777 43752587 80495091 109502331 131257761 328506993 393773283 1350528749 1618845719 4051586247 4856537157 6606640637 12154758741 14569611471 19819921911 59459765733 244445703569 733337110707 2200011332121