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10034442121 = 113733244367
BaseRepresentation
bin10010101100001100…
…10110111110001001
3221220022120110211111
421112012112332021
5131022304121441
64335412530321
7503443231204
oct112606267611
927808513744
1010034442121
11428a1a9980
121b406209a1
13c3bb89322
146b296a93b
153dae13081
hex256196f89

10034442121 has 8 divisors (see below), whose sum is σ = 10949641344. Its totient is φ = 9119739120.

The previous prime is 10034442097. The next prime is 10034442161. The reversal of 10034442121 is 12124443001.

It is a happy number.

10034442121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10034442121 - 233 = 1444507529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10034442092 and 10034442101.

It is not an unprimeable number, because it can be changed into a prime (10034442161) 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 7 ways as a sum of consecutive naturals, for example, 81121 + ... + 163246.

It is an arithmetic number, because the mean of its divisors is an integer number (1368705168).

Almost surely, 210034442121 is an apocalyptic number.

10034442121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10034442121 is a deficient number, since it is larger than the sum of its proper divisors (915199223).

10034442121 is a wasteful number, since it uses less digits than its factorization.

10034442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248111.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10034442121 its reverse (12124443001), we get a palindrome (22158885122).

The spelling of 10034442121 in words is "ten billion, thirty-four million, four hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 11 3733 41063 244367 2688037 912222011 10034442121