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130440102021 = 32137110995393
BaseRepresentation
bin111100101111011010…
…1100000000010000101
3110110200121001202002200
41321132311200002011
54114120131231041
6135531240025113
712265266400425
oct1713665400205
9413617052080
10130440102021
1150357045309
1221344162199
13c3ba117228
146455b0c485
1535d67e91b6
hex1e5ed60085

130440102021 has 24 divisors (see below), whose sum is σ = 189961887960. Its totient is φ = 86246578176.

The previous prime is 130440101989. The next prime is 130440102073. The reversal of 130440102021 is 120201044031.

130440102021 is a `hidden beast` number, since 13 + 0 + 440 + 10 + 202 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22257656100 + 108182445921 = 149190^2 + 328911^2 .

It is not a de Polignac number, because 130440102021 - 25 = 130440101989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130440101985 and 130440102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440102521) 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 23 ways as a sum of consecutive naturals, for example, 1319701 + ... + 1415093.

It is an arithmetic number, because the mean of its divisors is an integer number (7915078665).

Almost surely, 2130440102021 is an apocalyptic number.

It is an amenable number.

130440102021 is a deficient number, since it is larger than the sum of its proper divisors (59521785939).

130440102021 is a wasteful number, since it uses less digits than its factorization.

130440102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96645 (or 96642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130440102021 its reverse (120201044031), we get a palindrome (250641146052).

The spelling of 130440102021 in words is "one hundred thirty billion, four hundred forty million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 137 411 1109 1233 3327 9981 95393 151933 286179 455799 858537 1367397 13068841 39206523 105790837 117619569 317372511 952117533 14493344669 43480034007 130440102021