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30365112146013 = 32371014571975573
BaseRepresentation
bin1101110011101111011011…
…01110010001100001011101
310222111212122212121111221200
412321313231232101201131
512440000222202133023
6144325312343350113
76252543533414211
oct671675556214135
9128455585544850
1030365112146013
11974785420a377
1234a4b66752339
1313c3557b609b8
1476d971cb6941
15379ced8e5743
hex1b9dedb9185d

30365112146013 has 48 divisors (see below), whose sum is σ = 45591712002096. Its totient is φ = 19458593971200.

The previous prime is 30365112145943. The next prime is 30365112146023. The reversal of 30365112146013 is 31064121156303.

30365112146013 is a `hidden beast` number, since 3 + 0 + 3 + 65 + 1 + 121 + 460 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6892656899769 + 23472455246244 = 2625387^2 + 4844838^2 .

It is not a de Polignac number, because 30365112146013 - 222 = 30365107951709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30365112146023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14382495 + ... + 16358067.

It is an arithmetic number, because the mean of its divisors is an integer number (949827333377).

Almost surely, 230365112146013 is an apocalyptic number.

It is an amenable number.

30365112146013 is a deficient number, since it is larger than the sum of its proper divisors (15226599856083).

30365112146013 is a wasteful number, since it uses less digits than its factorization.

30365112146013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976174 (or 1976171 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30365112146013 in words is "thirty trillion, three hundred sixty-five billion, one hundred twelve million, one hundred forty-six thousand, thirteen".

Divisors: 1 3 9 37 101 111 303 333 457 909 1371 3737 4113 11211 16909 33633 46157 50727 138471 152181 415413 1707809 1975573 5123427 5926719 15370281 17780157 73096201 199532873 219288603 598598619 657865809 902836861 1795795857 2708510583 7382716301 8125531749 22148148903 33404963857 66444446709 91186522961 100214891571 273559568883 300644674713 820678706649 3373901349557 10121704048671 30365112146013