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3300130111131 = 34729450744531
BaseRepresentation
bin110000000001011111000…
…101010011111010011011
3102200111012202000122010000
4300001133011103322123
5413032131302024011
611004020413224043
7460266205052250
oct60013705237233
912614182018100
103300130111131
111062639460437
12453706a92023
131ac27c5b5a39
14b5a27427427
155ac9d554356
hex3005f153e9b

3300130111131 has 80 divisors (see below), whose sum is σ = 5829787434240. Its totient is φ = 1820316576960.

The previous prime is 3300130111121. The next prime is 3300130111183. The reversal of 3300130111131 is 1311110310033.

3300130111131 is a `hidden beast` number, since 330 + 0 + 1 + 301 + 1 + 1 + 1 + 31 = 666.

3300130111131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3300130111131 - 25 = 3300130111099 is a prime.

It is a super-2 number, since 2×33001301111312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3300130111121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74086336 + ... + 74130866.

It is an arithmetic number, because the mean of its divisors is an integer number (72872342928).

Almost surely, 23300130111131 is an apocalyptic number.

3300130111131 is a deficient number, since it is larger than the sum of its proper divisors (2529657323109).

3300130111131 is a wasteful number, since it uses less digits than its factorization.

3300130111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49086 (or 49077 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 3300130111131 its reverse (1311110310033), we get a palindrome (4611240421164).

The spelling of 3300130111131 in words is "three trillion, three hundred billion, one hundred thirty million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1827 2349 4507 5481 13521 16443 31549 40563 44531 94647 121689 130703 133593 283941 311717 365067 392109 400779 851823 914921 935151 1176327 1202337 1291399 2555469 2744763 2805453 3528981 3607011 3874197 8234289 8416359 9039793 10586943 11622591 24702867 25249077 27119379 34867773 74108601 81358137 104603319 200701217 244074411 602103651 732223233 1404908519 1806310953 4214725557 5418932859 5820335293 12644176671 16256798577 17461005879 37932530013 40742347051 52383017637 113797590039 122227041153 157149052911 366681123459 471447158733 1100043370377 3300130111131