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1133112141 = 327131251547
BaseRepresentation
bin100001110001001…
…1110101101001101
32220222011001122100
41003202132231031
54310034042031
6304234305313
740036202640
oct10342365515
92828131570
101133112141
11531680a17
12277588239
131509a5375
14aa6bba57
1569726de6
hex4389eb4d

1133112141 has 48 divisors (see below), whose sum is σ = 1895781888. Its totient is φ = 638820000.

The previous prime is 1133112137. The next prime is 1133112163. The reversal of 1133112141 is 1412113311.

It is a happy number.

1133112141 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1133112141 - 22 = 1133112137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133116141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2071230 + ... + 2071776.

It is an arithmetic number, because the mean of its divisors is an integer number (39495456).

Almost surely, 21133112141 is an apocalyptic number.

It is an amenable number.

1133112141 is a deficient number, since it is larger than the sum of its proper divisors (762669747).

1133112141 is a wasteful number, since it uses less digits than its factorization.

1133112141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 939 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1133112141 is about 33661.7311052180. The cubic root of 1133112141 is about 1042.5357688329.

Adding to 1133112141 its reverse (1412113311), we get a palindrome (2545225452).

The spelling of 1133112141 in words is "one billion, one hundred thirty-three million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 131 251 393 547 753 917 1179 1641 1757 2259 2751 3829 4923 5271 8253 11487 15813 32881 34461 71657 98643 137297 214971 230167 295929 411891 501599 644913 690501 961079 1235673 1504797 2071503 2883237 4514391 8649711 17985907 53957721 125901349 161873163 377704047 1133112141