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330100301310130 = 251321597122307841
BaseRepresentation
bin100101100001110010111011…
…1001100110010100010110010
31121021210021120120020211101101
41023003211313030302202302
5321231330404113411010
63130021552424355014
7126346650123222061
oct11303456714624262
91537707516224341
10330100301310130
11961a882a43540a
1231033797015a6a
131122642b8bca00
145b72d22c781d8
1528269ee03e73a
hex12c39773328b2

330100301310130 has 48 divisors (see below), whose sum is σ = 643805486413704. Its totient is φ = 121806867087360.

The previous prime is 330100301310127. The next prime is 330100301310139. The reversal of 330100301310130 is 31013103001033.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5605004165121 + 324495297145009 = 2367489^2 + 18013753^2 .

It is a super-3 number, since 3×3301003013101303 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 330100301310098 and 330100301310107.

It is not an unprimeable number, because it can be changed into a prime (330100301310139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58454991 + ... + 63852850.

Almost surely, 2330100301310130 is an apocalyptic number.

330100301310130 is a deficient number, since it is larger than the sum of its proper divisors (313705185103574).

330100301310130 is a wasteful number, since it uses less digits than its factorization.

330100301310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122309471 (or 122309458 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 330100301310130 its reverse (31013103001033), we get a palindrome (361113404311163).

The spelling of 330100301310130 in words is "three hundred thirty trillion, one hundred billion, three hundred one million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 169 338 845 1597 1690 3194 7985 15970 20761 41522 103805 207610 269893 539786 1349465 2698930 122307841 244615682 611539205 1223078410 1590001933 3180003866 7950009665 15900019330 20670025129 41340050258 103350125645 195325622077 206700251290 390651244154 976628110385 1953256220770 2539233087001 5078466174002 12696165435005 25392330870010 33010030131013 66020060262026 165050150655065 330100301310130