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30821259114 = 23217100723069
BaseRepresentation
bin11100101101000101…
…110001011101101010
32221112222122012002100
4130231011301131222
51001110220242424
622054210314230
72140531244202
oct345505613552
987488565070
1030821259114
1112086885178
125b81b88976
132ba257c539
1416c5549402
15c05c9edc9
hex72d17176a

30821259114 has 24 divisors (see below), whose sum is σ = 70707595140. Its totient is φ = 9669414528.

The previous prime is 30821259109. The next prime is 30821259179. The reversal of 30821259114 is 41195212803.

30821259114 is a `hidden beast` number, since 30 + 8 + 21 + 2 + 591 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30816047025 + 5212089 = 175545^2 + 2283^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50361229 + ... + 50361840.

Almost surely, 230821259114 is an apocalyptic number.

30821259114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

30821259114 is an abundant number, since it is smaller than the sum of its proper divisors (39886336026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30821259114 is a wasteful number, since it uses less digits than its factorization.

30821259114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100723094 (or 100723091 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 30821259114 in words is "thirty billion, eight hundred twenty-one million, two hundred fifty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 100723069 201446138 302169207 604338414 906507621 1712292173 1813015242 3424584346 5136876519 10273753038 15410629557 30821259114