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10042113434311 = 710085314224541
BaseRepresentation
bin1001001000100001110010…
…0110101010001011000111
31022120000110011002101011201
42102020130212222023013
52304012222014344221
633205141102043331
72054342634544210
oct222103446521307
938500404071151
1010042113434311
113221922266592
12116228b579547
1357ac7602071a
1426a080282407
15126342247891
hex9221c9aa2c7

10042113434311 has 8 divisors (see below), whose sum is σ = 11476815670944. Its totient is φ = 8607439848480.

The previous prime is 10042113434291. The next prime is 10042113434321. The reversal of 10042113434311 is 11343431124001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042113434311 - 217 = 10042113303239 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10042113434311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042113434321) 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 7 ways as a sum of consecutive naturals, for example, 6406300 + ... + 7818241.

It is an arithmetic number, because the mean of its divisors is an integer number (1434601958868).

Almost surely, 210042113434311 is an apocalyptic number.

10042113434311 is a deficient number, since it is larger than the sum of its proper divisors (1434702236633).

10042113434311 is a wasteful number, since it uses less digits than its factorization.

10042113434311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325401.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10042113434311 its reverse (11343431124001), we get a palindrome (21385544558312).

The spelling of 10042113434311 in words is "ten trillion, forty-two billion, one hundred thirteen million, four hundred thirty-four thousand, three hundred eleven".

Divisors: 1 7 100853 705971 14224541 99571787 1434587633473 10042113434311