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1142133013 = 72291634931
BaseRepresentation
bin100010000010011…
…1001000100010101
32221121010100221201
41010010321010111
54314341224023
6305155512501
740205653600
oct10404710425
92847110851
101142133013
1153678248a
1227a5b8731
13152813368
14ab989337
156a409bad
hex44139115

1142133013 has 24 divisors (see below), whose sum is σ = 1383130080. Its totient is φ = 939224160.

The previous prime is 1142133007. The next prime is 1142133053. The reversal of 1142133013 is 3103312411.

It is not a de Polignac number, because 1142133013 - 217 = 1142001941 is a prime.

It is a super-3 number, since 3×11421330133 (a number of 28 digits) contains 333 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 (1142133053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229158 + ... + 234088.

It is an arithmetic number, because the mean of its divisors is an integer number (57630420).

Almost surely, 21142133013 is an apocalyptic number.

It is an amenable number.

1142133013 is a deficient number, since it is larger than the sum of its proper divisors (240997067).

1142133013 is a wasteful number, since it uses less digits than its factorization.

1142133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1142133013 is about 33795.4584670781. The cubic root of 1142133013 is about 1045.2950527852.

Adding to 1142133013 its reverse (3103312411), we get a palindrome (4245445424).

The spelling of 1142133013 in words is "one billion, one hundred forty-two million, one hundred thirty-three thousand, thirteen".

Divisors: 1 7 29 49 163 203 1141 1421 4727 4931 7987 33089 34517 142999 231623 241619 803753 1000993 5626271 7006951 23308837 39383897 163161859 1142133013