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1114134211141 = 76710723992893
BaseRepresentation
bin10000001101100111100…
…100101110101001000101
310221111202221002002101021
4100031213210232221011
5121223221324224031
62211454242431141
7143331166353130
oct20154744565105
93844687062337
101114134211141
1139a557798026
1215bb153624b1
13810a7148613
143bcd2719217
151deab795511
hex1036792ea45

1114134211141 has 32 divisors (see below), whose sum is σ = 1309849989120. Its totient is φ = 928017832896.

The previous prime is 1114134211139. The next prime is 1114134211159. The reversal of 1114134211141 is 1411124314111.

It is not a de Polignac number, because 1114134211141 - 21 = 1114134211139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114174211141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11947291 + ... + 12040183.

It is an arithmetic number, because the mean of its divisors is an integer number (40932812160).

Almost surely, 21114134211141 is an apocalyptic number.

It is an amenable number.

1114134211141 is a deficient number, since it is larger than the sum of its proper divisors (195715777979).

1114134211141 is a wasteful number, since it uses less digits than its factorization.

1114134211141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93313.

The product of its digits is 384, while the sum is 25.

Adding to 1114134211141 its reverse (1411124314111), we get a palindrome (2525258525252).

The spelling of 1114134211141 in words is "one trillion, one hundred fourteen billion, one hundred thirty-four million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 7 67 107 239 469 749 1673 7169 16013 25573 50183 92893 112091 179011 650251 1713391 6223831 9939551 11993737 22201427 43566817 69576857 155409989 665949917 1487495609 2375552689 4661649419 10412469263 16628868823 159162030163 1114134211141