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2430104541 = 319101422113
BaseRepresentation
bin1001000011011000…
…0111001111011101
320021100200002201220
42100312013033131
514434101321131
61041045323553
7114135355614
oct22066071735
96240602656
102430104541
111037804567
12579a065b9
132c95c93a7
14190a5887b
15e3520e96
hex90d873dd

2430104541 has 16 divisors (see below), whose sum is σ = 3444450240. Its totient is φ = 1519603200.

The previous prime is 2430104507. The next prime is 2430104653. The reversal of 2430104541 is 1454010342.

It is not a de Polignac number, because 2430104541 - 219 = 2429580253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430104041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205300 + ... + 216813.

It is an arithmetic number, because the mean of its divisors is an integer number (215278140).

Almost surely, 22430104541 is an apocalyptic number.

It is an amenable number.

2430104541 is a deficient number, since it is larger than the sum of its proper divisors (1014345699).

2430104541 is a wasteful number, since it uses less digits than its factorization.

2430104541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422236.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2430104541 is about 49296.0905245031. The cubic root of 2430104541 is about 1344.4407031365.

Adding to 2430104541 its reverse (1454010342), we get a palindrome (3884114883).

The spelling of 2430104541 in words is "two billion, four hundred thirty million, one hundred four thousand, five hundred forty-one".

Divisors: 1 3 19 57 101 303 1919 5757 422113 1266339 8020147 24060441 42633413 127900239 810034847 2430104541