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30105150032 = 243141236107
BaseRepresentation
bin11100000010011010…
…000010001001010000
32212201002011002002202
4130002122002021100
5443123404300112
621455145502332
72114014360466
oct340232021120
985632132082
1030105150032
1111849632891
125a021a19a8
132aba0bca59
1416583ba836
15bb2e996c2
hex702682250

30105150032 has 60 divisors (see below), whose sum is σ = 61716371328. Its totient is φ = 14211321600.

The previous prime is 30105149957. The next prime is 30105150059. The reversal of 30105150032 is 23005150103.

It is a junction number, because it is equal to n+sod(n) for n = 30105149986 and 30105150013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815723 + ... + 851829.

Almost surely, 230105150032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30105150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30858185664).

30105150032 is an abundant number, since it is smaller than the sum of its proper divisors (31611221296).

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

30105150032 is a wasteful number, since it uses less digits than its factorization.

30105150032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36228 (or 36181 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 30105150032 in words is "thirty billion, one hundred five million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 1681 2542 3362 5084 6724 10168 13448 20336 26896 36107 52111 72214 104222 144428 208444 288856 416888 577712 833776 1119317 1480387 2238634 2960774 4477268 5921548 8954536 11843096 17909072 23686192 45891997 60695867 91783994 121391734 183567988 242783468 367135976 485566936 734271952 971133872 1881571877 3763143754 7526287508 15052575016 30105150032