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1142013102411 = 35572119132251
BaseRepresentation
bin10000100111100101010…
…010010000100101001011
311001011201212010111120210
4100213211102100211023
5122202320323234121
62232344504052203
7145336102130406
oct20474522204513
94034655114523
101142013102411
11400363695735
121653b5a64063
13838cac4189c
143d3b9180d3d
151ea8e087876
hex109e549094b

1142013102411 has 16 divisors (see below), whose sum is σ = 1525537145088. Its totient is φ = 759915780000.

The previous prime is 1142013102397. The next prime is 1142013102463.

1142013102411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1142013102411 - 29 = 1142013101899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1142013102911) 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, 35394036 + ... + 35426286.

It is an arithmetic number, because the mean of its divisors is an integer number (95346071568).

Almost surely, 21142013102411 is an apocalyptic number.

1142013102411 is a deficient number, since it is larger than the sum of its proper divisors (383524042677).

1142013102411 is a wasteful number, since it uses less digits than its factorization.

1142013102411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54002.

The product of its (nonzero) digits is 192, while the sum is 21.

Multiplying 1142013102411 by its product of nonzero digits (192), we get a palindrome (219266515662912).

The spelling of 1142013102411 in words is "one trillion, one hundred forty-two billion, thirteen million, one hundred two thousand, four hundred eleven".

Divisors: 1 3 557 1671 21191 32251 63573 96753 11803387 17963807 35410161 53891421 683430941 2050292823 380671034137 1142013102411