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30813018091541 = 731716332419297
BaseRepresentation
bin1110000000110001101101…
…11111110111000000010101
311001002200210012200001212022
413000120312333313000111
513014320030112412131
6145311145522302525
76330111212216000
oct700306677670025
9131080705601768
1030813018091541
1198aa800467694
1235579294b7a45
13142686945316a
1478750262a537
153867b5de337b
hex1c0636ff7015

30813018091541 has 32 divisors (see below), whose sum is σ = 38280707078400. Its totient is φ = 24705059678208.

The previous prime is 30813018091477. The next prime is 30813018091561. The reversal of 30813018091541 is 14519081031803.

It is not a de Polignac number, because 30813018091541 - 26 = 30813018091477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30813018091492 and 30813018091501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30813018091561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15259196 + ... + 17160101.

It is an arithmetic number, because the mean of its divisors is an integer number (1196272096200).

Almost surely, 230813018091541 is an apocalyptic number.

It is an amenable number.

30813018091541 is a deficient number, since it is larger than the sum of its proper divisors (7467688986859).

30813018091541 is a wasteful number, since it uses less digits than its factorization.

30813018091541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32419498 (or 32419484 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 30813018091541 in words is "thirty trillion, eight hundred thirteen billion, eighteen million, ninety-one thousand, five hundred forty-one".

Divisors: 1 7 17 49 119 163 343 833 1141 2771 5831 7987 19397 55909 135779 950453 32419297 226935079 551128049 1588545553 3857896343 5284345411 11119818871 27005274401 36990417877 89833871987 189036920807 258932925139 628837103909 1812530475973 4401859727363 30813018091541