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1130405145 = 35277272059
BaseRepresentation
bin100001101100000…
…1001110100011001
32220210001112100020
41003120021310121
54303340431040
6304100301053
740004166552
oct10330116431
92823045306
101130405145
115300a2131
122766a1789
131502681ac
14aa1b5329
156938ecd0
hex43609d19

1130405145 has 16 divisors (see below), whose sum is σ = 1815184320. Its totient is φ = 600704064.

The previous prime is 1130405119. The next prime is 1130405149. The reversal of 1130405145 is 5415040311.

It is a happy number.

It is not a de Polignac number, because 1130405145 - 28 = 1130404889 is a prime.

It is a super-3 number, since 3×11304051453 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1130405149) 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, 131875 + ... + 140184.

It is an arithmetic number, because the mean of its divisors is an integer number (113449020).

Almost surely, 21130405145 is an apocalyptic number.

1130405145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1130405145 is a deficient number, since it is larger than the sum of its proper divisors (684779175).

1130405145 is a wasteful number, since it uses less digits than its factorization.

1130405145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272344.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1130405145 is about 33621.4982563240. The cubic root of 1130405145 is about 1041.7049035848.

Adding to 1130405145 its reverse (5415040311), we get a palindrome (6545445456).

The spelling of 1130405145 in words is "one billion, one hundred thirty million, four hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 15 277 831 1385 4155 272059 816177 1360295 4080885 75360343 226081029 376801715 1130405145