Search a number
-
+
130031200303333 = 72350312479128669
BaseRepresentation
bin11101100100001100111111…
…100000001111100011100101
3122001101212020220212220202221
4131210030333200033203211
5114020412344234201313
61140315301520432341
736250305235001110
oct3544147740174345
9561355226786687
10130031200303333
1138482a1673498a
1212700b01a786b1
135772b74519834
142417787bb5577
15100762376cc8d
hex76433f80f8e5

130031200303333 has 32 divisors (see below), whose sum is σ = 155390209228800. Its totient is φ = 106388131160256.

The previous prime is 130031200303327. The next prime is 130031200303399. The reversal of 130031200303333 is 333303002130031.

It is a cyclic number.

It is not a de Polignac number, because 130031200303333 - 213 = 130031200295141 is a prime.

It is a super-2 number, since 2×1300312003033332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130031200303298 and 130031200303307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031200300333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010522523 + ... + 1010651191.

It is an arithmetic number, because the mean of its divisors is an integer number (4855944038400).

Almost surely, 2130031200303333 is an apocalyptic number.

It is an amenable number.

130031200303333 is a deficient number, since it is larger than the sum of its proper divisors (25359008925467).

130031200303333 is a wasteful number, since it uses less digits than its factorization.

130031200303333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141681.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 130031200303333 its reverse (333303002130031), we get a palindrome (463334202433364).

The spelling of 130031200303333 in words is "one hundred thirty trillion, thirty-one billion, two hundred million, three hundred three thousand, three hundred thirty-three".

Divisors: 1 7 23 161 503 3521 11569 12479 80983 87353 128669 287017 900683 2009119 2959387 6276937 20715709 43938559 64720507 144369551 453043549 1010586857 1488571661 1605660451 10420001627 11239623157 36930190373 258511332611 807647206853 5653530447971 18575885757619 130031200303333