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130030331121 = 32101143047669
BaseRepresentation
bin111100100011001101…
…0010110010011110001
3110102122001000020002200
41321012122112103301
54112300231043441
6135422441133413
712252162402165
oct1710632262361
9412561006080
10130030331121
1150166806379
122124aa8a269
13c353264442
146417522ca5
1535b08557b6
hex1e466964f1

130030331121 has 12 divisors (see below), whose sum is σ = 189681210420. Its totient is φ = 85828600800.

The previous prime is 130030331099. The next prime is 130030331129. The reversal of 130030331121 is 121133030031.

It is a happy number.

130030331121 is a `hidden beast` number, since 1 + 30 + 0 + 303 + 311 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119201015025 + 10829316096 = 345255^2 + 104064^2 .

It is not a de Polignac number, because 130030331121 - 25 = 130030331089 is a prime.

It is a super-2 number, since 2×1300303311212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130030331094 and 130030331103.

It is not an unprimeable number, because it can be changed into a prime (130030331129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71522926 + ... + 71524743.

It is an arithmetic number, because the mean of its divisors is an integer number (15806767535).

Almost surely, 2130030331121 is an apocalyptic number.

It is an amenable number.

130030331121 is a deficient number, since it is larger than the sum of its proper divisors (59650879299).

130030331121 is a wasteful number, since it uses less digits than its factorization.

130030331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143047776 (or 143047773 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130030331121 its reverse (121133030031), we get a palindrome (251163361152).

The spelling of 130030331121 in words is "one hundred thirty billion, thirty million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 143047669 429143007 1287429021 14447814569 43343443707 130030331121