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2412112142 = 2116116311027
BaseRepresentation
bin1000111111000101…
…1110100100001110
320020002210222210202
42033301132210032
514420000042032
61035203533502
7113526420626
oct21761364416
96202728722
102412112142
111028635610
1257398a292
132c59699bb
1418c4d3886
15e1b69d62
hex8fc5e90e

2412112142 has 32 divisors (see below), whose sum is σ = 4036777344. Its totient is φ = 1071727200.

The previous prime is 2412112141. The next prime is 2412112151.

2412112142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412112141) 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, 213233 + ... + 224259.

It is an arithmetic number, because the mean of its divisors is an integer number (126149292).

Almost surely, 22412112142 is an apocalyptic number.

2412112142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2412112142 is a deficient number, since it is larger than the sum of its proper divisors (1624665202).

2412112142 is a wasteful number, since it uses less digits than its factorization.

2412112142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264.

The product of its digits is 256, while the sum is 20.

The square root of 2412112142 is about 49113.2583117838. The cubic root of 2412112142 is about 1341.1144182196.

It can be divided in two parts, 24121 and 12142, that added together give a palindrome (36263).

The spelling of 2412112142 in words is "two billion, four hundred twelve million, one hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 11 22 61 122 163 326 671 1342 1793 3586 9943 11027 19886 22054 109373 121297 218746 242594 672647 1345294 1797401 3594802 7399117 14798234 19771411 39542822 109641461 219282922 1206056071 2412112142