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130022033023311 = 31121327552878369
BaseRepresentation
bin11101100100000100011101…
…000101110110000101001111
3122001100222121001000211201020
4131210010131011312011033
5114020240110423221221
61140311144122045223
736246532121260152
oct3544043505660517
9561328531024636
10130022033023311
113847a041a79800
12126bb183949813
1357720431ca2a0
142417158497c99
151007288a4bac6
hex76411d17614f

130022033023311 has 24 divisors (see below), whose sum is σ = 205213838099760. Its totient is φ = 72739598891520.

The previous prime is 130022033023093. The next prime is 130022033023321. The reversal of 130022033023311 is 113320330220031.

It is not a de Polignac number, because 130022033023311 - 214 = 130022033006927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022033023321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13776434466 + ... + 13776443903.

It is an arithmetic number, because the mean of its divisors is an integer number (8550576587490).

Almost surely, 2130022033023311 is an apocalyptic number.

130022033023311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130022033023311 is a deficient number, since it is larger than the sum of its proper divisors (75191805076449).

130022033023311 is a wasteful number, since it uses less digits than its factorization.

130022033023311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27552878407 (or 27552878396 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130022033023311 its reverse (113320330220031), we get a palindrome (243342363243342).

The spelling of 130022033023311 in words is "one hundred thirty trillion, twenty-two billion, thirty-three million, twenty-three thousand, three hundred eleven".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 27552878369 82658635107 303081662059 358187418797 909244986177 1074562256391 3333898282649 3940061606767 10001694847947 11820184820301 43340677674437 130022033023311