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130130300223 = 3371162592737
BaseRepresentation
bin111100100110001011…
…1101100110100111111
3110102220000010011221000
41321030113230310333
54113001324101343
6135440411541343
712254515205250
oct1711427546477
9412800104830
10130130300223
1150208186670
122127845a853
13c36ab96b61
146426906b27
1535b9500ed3
hex1e4c5ecd3f

130130300223 has 32 divisors (see below), whose sum is σ = 240356113920. Its totient is φ = 67600154880.

The previous prime is 130130300213. The next prime is 130130300233. The reversal of 130130300223 is 322003031031.

130130300223 is a `hidden beast` number, since 13 + 0 + 130 + 300 + 223 = 666.

It is an interprime number because it is at equal distance from previous prime (130130300213) and next prime (130130300233).

It is not a de Polignac number, because 130130300223 - 221 = 130128203071 is a prime.

It is a super-2 number, since 2×1301303002232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130130300196 and 130130300205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130300203) 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 31 ways as a sum of consecutive naturals, for example, 31294290 + ... + 31298447.

It is an arithmetic number, because the mean of its divisors is an integer number (7511128560).

Almost surely, 2130130300223 is an apocalyptic number.

130130300223 is a deficient number, since it is larger than the sum of its proper divisors (110225813697).

130130300223 is a wasteful number, since it uses less digits than its factorization.

130130300223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62592764 (or 62592758 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130130300223 its reverse (322003031031), we get a palindrome (452133331254).

The spelling of 130130300223 in words is "one hundred thirty billion, one hundred thirty million, three hundred thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 62592737 187778211 438149159 563334633 688520107 1314447477 1690003899 2065560321 3943342431 4819640749 6196680963 11830027293 14458922247 18590042889 43376766741 130130300223