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130201322121 = 32131112831813
BaseRepresentation
bin111100101000010011…
…0101000001010001001
3110110001221202110122200
41321100212220022021
54113123014301441
6135451430110413
712256336656213
oct1712046501211
9413057673580
10130201322121
1150244285452
12212981ab409
13c37c802850
1464321135b3
1535c087e7b6
hex1e509a8289

130201322121 has 12 divisors (see below), whose sum is σ = 202535390148. Its totient is φ = 80123890464.

The previous prime is 130201322099. The next prime is 130201322129. The reversal of 130201322121 is 121223102031.

130201322121 is a `hidden beast` number, since 130 + 201 + 322 + 12 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22220076096 + 107981246025 = 149064^2 + 328605^2 .

It is not a de Polignac number, because 130201322121 - 217 = 130201191049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130201322094 and 130201322103.

It is not an unprimeable number, because it can be changed into a prime (130201322129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556415790 + ... + 556416023.

It is an arithmetic number, because the mean of its divisors is an integer number (16877949179).

Almost surely, 2130201322121 is an apocalyptic number.

It is an amenable number.

130201322121 is a deficient number, since it is larger than the sum of its proper divisors (72334068027).

130201322121 is a wasteful number, since it uses less digits than its factorization.

130201322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112831832 (or 1112831829 counting only the distinct ones).

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

Adding to 130201322121 its reverse (121223102031), we get a palindrome (251424424152).

The spelling of 130201322121 in words is "one hundred thirty billion, two hundred one million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 1112831813 3338495439 10015486317 14466813569 43400440707 130201322121