Search a number
-
+
12200001010011 = 327173261538813
BaseRepresentation
bin1011000110001000100010…
…1110011111100101011011
31121012022100001021002202200
42301202020232133211123
53044341100224310021
641540334133501243
72366264253364113
oct261421056374533
947168301232680
1012200001010011
113983a9a575921
1214505377a1823
136a65bbca36a9
143026a9c84043
1516253b4e4126
hexb1888b9f95b

12200001010011 has 24 divisors (see below), whose sum is σ = 18115224412896. Its totient is φ = 7908933674880.

The previous prime is 12200001009923. The next prime is 12200001010079. The reversal of 12200001010011 is 11001010000221.

It is a happy number.

It is not a de Polignac number, because 12200001010011 - 29 = 12200001009499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12200001009975 and 12200001010002.

It is not an unprimeable number, because it can be changed into a prime (12200001010411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130722760 + ... + 130816053.

It is an arithmetic number, because the mean of its divisors is an integer number (754801017204).

Almost surely, 212200001010011 is an apocalyptic number.

12200001010011 is a deficient number, since it is larger than the sum of its proper divisors (5915223402885).

12200001010011 is a wasteful number, since it uses less digits than its factorization.

12200001010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261538963 (or 261538960 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12200001010011 its reverse (11001010000221), we get a palindrome (23201011010232).

The spelling of 12200001010011 in words is "twelve trillion, two hundred billion, one million, ten thousand, eleven".

Divisors: 1 3 9 71 73 213 219 639 657 5183 15549 46647 261538813 784616439 2353849317 18569255723 19092333349 55707767169 57277000047 167123301507 171831000141 1355555667779 4066667003337 12200001010011