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130303310033 = 1341244471501
BaseRepresentation
bin111100101011010101…
…1101011100011010001
3110110100001122222202202
41321112223223203101
54113330121410113
6135505512052545
712262015601111
oct1712653534321
9413301588682
10130303310033
1150296904486
1221306394155
13c397991120
1464418a1041
1535c97c8258
hex1e56aeb8d1

130303310033 has 8 divisors (see below), whose sum is σ = 143749243176. Its totient is φ = 117346320000.

The previous prime is 130303310029. The next prime is 130303310051. The reversal of 130303310033 is 330013303031.

It can be written as a sum of positive squares in 4 ways, for example, as 1244184529 + 129059125504 = 35273^2 + 359248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 130303310033 - 22 = 130303310029 is a prime.

It is a super-2 number, since 2×1303033100332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130303309987 and 130303310014.

It is not an unprimeable number, because it can be changed into a prime (130303310003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122235218 + ... + 122236283.

It is an arithmetic number, because the mean of its divisors is an integer number (17968655397).

Almost surely, 2130303310033 is an apocalyptic number.

130303310033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130303310033 is a deficient number, since it is larger than the sum of its proper divisors (13445933143).

130303310033 is a wasteful number, since it uses less digits than its factorization.

130303310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244471555.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 130303310033 its reverse (330013303031), we get a palindrome (460316613064).

The spelling of 130303310033 in words is "one hundred thirty billion, three hundred three million, three hundred ten thousand, thirty-three".

Divisors: 1 13 41 533 244471501 3178129513 10023331541 130303310033