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2142233013114 = 2324313720202503
BaseRepresentation
bin11111001011000111000…
…010011010101101111010
321120210110220100112211200
4133023013002122231322
5240044243122404424
64320043412035030
7310525350111465
oct37130702325572
97523426315750
102142233013114
11756574762807
122a7219602a76
1312701c9462ac
14759828b02dc
153aacec8c8c9
hex1f2c709ab7a

2142233013114 has 48 divisors (see below), whose sum is σ = 4784114567232. Its totient is φ = 692380148544.

The previous prime is 2142233013097. The next prime is 2142233013119. The reversal of 2142233013114 is 4113103322412.

2142233013114 is a `hidden beast` number, since 2 + 1 + 42 + 2 + 3 + 301 + 311 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2142233013119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9995214 + ... + 10207289.

It is an arithmetic number, because the mean of its divisors is an integer number (99669053484).

Almost surely, 22142233013114 is an apocalyptic number.

2142233013114 is an abundant number, since it is smaller than the sum of its proper divisors (2641881554118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142233013114 is a wasteful number, since it uses less digits than its factorization.

2142233013114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202691 (or 20202688 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2142233013114 its reverse (4113103322412), we get a palindrome (6255336335526).

The spelling of 2142233013114 in words is "two trillion, one hundred forty-two billion, two hundred thirty-three million, thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 43 86 129 137 258 274 387 411 774 822 1233 2466 5891 11782 17673 35346 53019 106038 20202503 40405006 60607509 121215018 181822527 363645054 868707629 1737415258 2606122887 2767742911 5212245774 5535485822 7818368661 8303228733 15636737322 16606457466 24909686199 49819372398 119012945173 238025890346 357038835519 714077671038 1071116506557 2142233013114