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130012443561 = 371113299291607
BaseRepresentation
bin111100100010101011…
…0000111001110101001
3110102120210100102222110
41321011112013032221
54112231141143221
6135421001512533
712251554351650
oct1710526071651
9412523312873
10130012443561
11501576a9170
1221244aa2749
13c34c6406a0
146414dc8197
1535adec0776
hex1e455873a9

130012443561 has 128 divisors (see below), whose sum is σ = 241184563200. Its totient is φ = 60091637760.

The previous prime is 130012443559. The next prime is 130012443563. The reversal of 130012443561 is 165344210031.

It is an interprime number because it is at equal distance from previous prime (130012443559) and next prime (130012443563).

It is not a de Polignac number, because 130012443561 - 21 = 130012443559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130012443563) 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 127 ways as a sum of consecutive naturals, for example, 80903020 + ... + 80904626.

It is an arithmetic number, because the mean of its divisors is an integer number (1884254400).

Almost surely, 2130012443561 is an apocalyptic number.

130012443561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130012443561 is a deficient number, since it is larger than the sum of its proper divisors (111172119639).

130012443561 is a wasteful number, since it uses less digits than its factorization.

130012443561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 130012443561 its reverse (165344210031), we get a palindrome (295356653592).

The spelling of 130012443561 in words is "one hundred thirty billion, twelve million, four hundred forty-three thousand, five hundred sixty-one".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 143 203 231 273 319 377 429 609 929 957 1001 1131 1607 2233 2639 2787 3003 4147 4821 6503 6699 7917 10219 11249 12077 12441 17677 19509 20891 26941 29029 30657 33747 36231 46603 53031 62673 71533 80823 84539 87087 123739 132847 139809 146237 188587 214599 229801 253617 296351 326221 350233 371217 398541 438711 512633 565761 605839 689403 889053 929929 978663 1050699 1492903 1537899 1608607 1817517 2074457 2451631 2789787 3588431 3852563 4240873 4478709 4825821 6223371 6664229 7354893 10450321 10765293 11557689 12722619 16421933 19407739 19992687 26967941 31350963 43294187 46649603 49265799 58223217 80903823 114953531 129882561 135854173 139948809 213485129 303059309 344860593 407562519 476236057 562824431 640455387 909177927 1428708171 1494395903 1688473293 3333652399 3939771017 4483187709 6191068741 10000957197 11819313051 18573206223 43337481187 130012443561