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120010210011 = 3826336947
BaseRepresentation
bin110111111000100101…
…0100111101011011011
3102110202201101100000000
41233301022213223123
53431240103210021
6131044255144043
711445651645126
oct1576112475333
9373681340000
10120010210011
11469946a904a
121b313215023
13b4173506b3
145b468433bd
1531c5d20b26
hex1bf12a7adb

120010210011 has 36 divisors (see below), whose sum is σ = 180100455912. Its totient is φ = 79964908128.

The previous prime is 120010209997. The next prime is 120010210039. The reversal of 120010210011 is 110012010021.

It is a happy number.

It is not a de Polignac number, because 120010210011 - 219 = 120009685723 is a prime.

It is a super-3 number, since 3×1200102100113 (a number of 34 digits) contains 333 as substring.

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 = 120010209975 and 120010210002.

It is not an unprimeable number, because it can be changed into a prime (120010210081) 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 35 ways as a sum of consecutive naturals, for example, 17271640 + ... + 17278586.

It is an arithmetic number, because the mean of its divisors is an integer number (5002790442).

Almost surely, 2120010210011 is an apocalyptic number.

120010210011 is a deficient number, since it is larger than the sum of its proper divisors (60090245901).

120010210011 is an frugal number, since it uses more digits than its factorization.

120010210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9604 (or 9583 counting only the distinct ones).

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

Adding to 120010210011 its reverse (110012010021), we get a palindrome (230022220032).

The spelling of 120010210011 in words is "one hundred twenty billion, ten million, two hundred ten thousand, eleven".

Divisors: 1 3 9 27 81 243 729 2187 2633 6561 6947 7899 20841 23697 62523 71091 187569 213273 562707 639819 1688121 1919457 5064363 5758371 15193089 17275113 18291451 45579267 54874353 164623059 493869177 1481607531 4444822593 13334467779 40003403337 120010210011