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1130093141 = 291013531093
BaseRepresentation
bin100001101011011…
…1101101001010101
32220202110200100112
41003112331221111
54303300440031
6304045452405
740001430122
oct10326755125
92822420315
101130093141
1152a9a9781
12276571105
13150189188
14aa133749
156932c62b
hex435bda55

1130093141 has 16 divisors (see below), whose sum is σ = 1185064560. Its totient is φ = 1076275200.

The previous prime is 1130093123. The next prime is 1130093149. The reversal of 1130093141 is 1413900311.

It can be written as a sum of positive squares in 8 ways, for example, as 350064100 + 780029041 = 18710^2 + 27929^2 .

It is a cyclic number.

It is not a de Polignac number, because 1130093141 - 218 = 1129830997 is a prime.

It is a super-2 number, since 2×11300931412 = 2554221014670491762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130093149) 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, 1033391 + ... + 1034483.

It is an arithmetic number, because the mean of its divisors is an integer number (74066535).

Almost surely, 21130093141 is an apocalyptic number.

It is an amenable number.

1130093141 is a deficient number, since it is larger than the sum of its proper divisors (54971419).

1130093141 is a wasteful number, since it uses less digits than its factorization.

1130093141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1130093141 is about 33616.8579882178. The cubic root of 1130093141 is about 1041.6090541733.

Adding to 1130093141 its reverse (1413900311), we get a palindrome (2543993452).

The spelling of 1130093141 in words is "one billion, one hundred thirty million, ninety-three thousand, one hundred forty-one".

Divisors: 1 29 101 353 1093 2929 10237 31697 35653 110393 385829 1033937 3201397 11189041 38968729 1130093141