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130124414321 = 11172325312583
BaseRepresentation
bin111100100110000000…
…1001111110101110001
3110102212121001010222122
41321030001033311301
54112443322224241
6135440041444025
712254414162216
oct1711401176561
9412777033878
10130124414321
1150204926490
12212764a0615
13c3698b5a85
146425c13b0d
1535b8c3c04b
hex1e4c04fd71

130124414321 has 24 divisors (see below), whose sum is σ = 150853669824. Its totient is φ = 111293326080.

The previous prime is 130124414317. The next prime is 130124414351. The reversal of 130124414321 is 123414421031.

It is not a de Polignac number, because 130124414321 - 22 = 130124414317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130124414351) 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 23 ways as a sum of consecutive naturals, for example, 10334996 + ... + 10347578.

It is an arithmetic number, because the mean of its divisors is an integer number (6285569576).

Almost surely, 2130124414321 is an apocalyptic number.

130124414321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130124414321 is a deficient number, since it is larger than the sum of its proper divisors (20729255503).

130124414321 is a wasteful number, since it uses less digits than its factorization.

130124414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881 (or 15864 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 130124414321 its reverse (123414421031), we get a palindrome (253538835352).

It can be divided in two parts, 130124 and 414321, that added together give a palindrome (544445).

The spelling of 130124414321 in words is "one hundred thirty billion, one hundred twenty-four million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 11 17 187 289 3179 3253 12583 35783 55301 138413 213911 608311 940117 2353021 3636487 10341287 40001357 40932499 450257489 695852483 7654377313 11829492211 130124414321