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1300034241 = 321147279397
BaseRepresentation
bin100110101111100…
…1111001011000001
310100121020120201100
41031133033023001
510130302043431
6333000125013
744134052202
oct11537171301
93317216640
101300034241
11607920a70
12303466769
1317944a73c
14c492d5a9
15791ea4e6
hex4d7cf2c1

1300034241 has 24 divisors (see below), whose sum is σ = 2092132224. Its totient is φ = 771132960.

The previous prime is 1300034231. The next prime is 1300034287. The reversal of 1300034241 is 1424300031.

It is not a de Polignac number, because 1300034241 - 226 = 1232925377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1300034201) 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 23 ways as a sum of consecutive naturals, for example, 135046 + ... + 144351.

It is an arithmetic number, because the mean of its divisors is an integer number (87172176).

Almost surely, 21300034241 is an apocalyptic number.

1300034241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1300034241 is a deficient number, since it is larger than the sum of its proper divisors (792097983).

1300034241 is a wasteful number, since it uses less digits than its factorization.

1300034241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279461 (or 279458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300034241 is about 36055.9875887487. The cubic root of 1300034241 is about 1091.4024651266.

Adding to 1300034241 its reverse (1424300031), we get a palindrome (2724334272).

The spelling of 1300034241 in words is "one billion, three hundred million, thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 279397 838191 2514573 3073367 9220101 13131659 27660303 39394977 118184931 144448249 433344747 1300034241