Search a number
-
+
130030323013233 = 361109405139703
BaseRepresentation
bin11101100100001100001011…
…001101101001011001110001
3122001101202222210002222000000
4131210030023031221121301
5114020404100142410413
61140315034501220213
736250244423106036
oct3544141315513161
9561352883088000
10130030323013233
1138482606503945
12127008b8101669
135772a64844b76
14241770348b38d
1510075c172a073
hex76430b369671

130030323013233 has 56 divisors (see below), whose sum is σ = 195185180043840. Its totient is φ = 86585154832800.

The previous prime is 130030323013181. The next prime is 130030323013259. The reversal of 130030323013233 is 332310323030031.

130030323013233 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 0 + 32 + 301 + 323 + 3 = 666.

It is not a de Polignac number, because 130030323013233 - 26 = 130030323013169 is a prime.

It is a super-2 number, since 2×1300303230132332 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130030323013197 and 130030323013206.

It is not an unprimeable number, because it can be changed into a prime (130030323013733) 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 55 ways as a sum of consecutive naturals, for example, 3275055660 + ... + 3275095362.

It is an arithmetic number, because the mean of its divisors is an integer number (3485449643640).

Almost surely, 2130030323013233 is an apocalyptic number.

It is an amenable number.

130030323013233 is a deficient number, since it is larger than the sum of its proper divisors (65154857030607).

130030323013233 is an equidigital number, since it uses as much as digits as its factorization.

130030323013233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44881 (or 44866 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 130030323013233 its reverse (332310323030031), we get a palindrome (462340646043264).

The spelling of 130030323013233 in words is "one hundred thirty trillion, thirty billion, three hundred twenty-three million, thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 1109 3327 4051 9981 12153 29943 36459 39703 89829 109377 119109 269487 328131 357327 808461 984393 1071981 2953179 3215943 4492559 9647829 13477677 28943487 40433031 44030627 121299093 132091881 160836853 363897279 396275643 482510559 1091691837 1188826929 1447531677 3275075511 3566480787 4342595031 10699442361 13027785093 32098327083 39083355279 117250065837 178368069977 535104209931 1605312629793 4815937889379 14447813668137 43343441004411 130030323013233