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10304430411 = 31131411511627
BaseRepresentation
bin10011001100011000…
…10010000101001011
3222121010121022010210
421212030102011023
5132100413233121
64422255412203
7513232133112
oct114614220513
928533538123
1010304430411
1144086450a0
121bb6b24063
13c82aa9a02
146da76ac79
15404994876
hex26631214b

10304430411 has 64 divisors (see below), whose sum is σ = 15963881472. Its totient is φ = 5853600000.

The previous prime is 10304430401. The next prime is 10304430419. The reversal of 10304430411 is 11403440301.

It is not a de Polignac number, because 10304430411 - 26 = 10304430347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10304430419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6332580 + ... + 6334206.

It is an arithmetic number, because the mean of its divisors is an integer number (249435648).

Almost surely, 210304430411 is an apocalyptic number.

10304430411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10304430411 is a deficient number, since it is larger than the sum of its proper divisors (5659451061).

10304430411 is a wasteful number, since it uses less digits than its factorization.

10304430411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10304430411 its reverse (11403440301), we get a palindrome (21707870712).

The spelling of 10304430411 in words is "ten billion, three hundred four million, four hundred thirty thousand, four hundred eleven".

Divisors: 1 3 11 31 33 41 93 123 151 341 451 453 1023 1271 1353 1627 1661 3813 4681 4881 4983 6191 13981 14043 17897 18573 41943 50437 51491 53691 66707 68101 151311 154473 191921 200121 204303 245677 554807 575763 733777 737031 1664421 2067917 2111131 2201331 2702447 6203751 6333393 7615987 8107341 10072757 22747087 22847961 30218271 68241261 83775857 110800327 251327571 312255467 332400981 936766401 3434810137 10304430411