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2430113441 = 75331720663
BaseRepresentation
bin1001000011011000…
…1001011010100001
320021100200112221112
42100312021122201
514434102112231
61041045433105
7114135423560
oct22066113241
96240615845
102430113441
111037810218
12579a0b795
132c9600462
14190a5bbd7
15e352392b
hex90d896a1

2430113441 has 16 divisors (see below), whose sum is σ = 2838737664. Its totient is φ = 2037107904.

The previous prime is 2430113401. The next prime is 2430113443. The reversal of 2430113441 is 1443110342.

It is a cyclic number.

It is not a de Polignac number, because 2430113441 - 226 = 2363004577 is a prime.

It is a super-2 number, since 2×24301134412 = 11810902672257720962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2430113443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107276 + ... + 127938.

It is an arithmetic number, because the mean of its divisors is an integer number (177421104).

Almost surely, 22430113441 is an apocalyptic number.

It is an amenable number.

2430113441 is a deficient number, since it is larger than the sum of its proper divisors (408624223).

2430113441 is a wasteful number, since it uses less digits than its factorization.

2430113441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21040.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2430113441 is about 49296.1807952705. The cubic root of 2430113441 is about 1344.4423444250.

Adding to 2430113441 its reverse (1443110342), we get a palindrome (3873223783).

The spelling of 2430113441 in words is "two billion, four hundred thirty million, one hundred thirteen thousand, four hundred forty-one".

Divisors: 1 7 53 317 371 2219 16801 20663 117607 144641 1095139 6550171 7665973 45851197 347159063 2430113441