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130442121441 = 3411314251297
BaseRepresentation
bin111100101111011110…
…1001101000011100001
3110110200201212100020000
41321132331031003201
54114121140341231
6135531351210213
712265322511102
oct1713675150341
9413621770200
10130442121441
11503581a4555
1221344976969
13c3ba673458
1464560b63a9
1535d6a976e6
hex1e5ef4d0e1

130442121441 has 20 divisors (see below), whose sum is σ = 196582404612. Its totient is φ = 86191838208.

The previous prime is 130442121421. The next prime is 130442121449. The reversal of 130442121441 is 144121244031.

130442121441 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 212 + 1 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23450328225 + 106991793216 = 153135^2 + 327096^2 .

It is not a de Polignac number, because 130442121441 - 218 = 130441859297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130442121449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7116496 + ... + 7134801.

Almost surely, 2130442121441 is an apocalyptic number.

It is an amenable number.

130442121441 is a deficient number, since it is larger than the sum of its proper divisors (66140283171).

130442121441 is a wasteful number, since it uses less digits than its factorization.

130442121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251422 (or 14251413 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 130442121441 its reverse (144121244031), we get a palindrome (274563365472).

The spelling of 130442121441 in words is "one hundred thirty billion, four hundred forty-two million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 113 339 1017 3051 9153 14251297 42753891 128261673 384785019 1154355057 1610396561 4831189683 14493569049 43480707147 130442121441