Search a number
-
+
10034422443001 = 1119735271312889
BaseRepresentation
bin1001001000000101001000…
…1011110110101111111001
31022112021121011010112111201
42102001102023312233321
52303400444121134001
633201430001254201
72053651225314055
oct222012213665771
938467534115451
1010034422443001
113219635965a20
1211608a3934361
1357a31b8109a8
14269950a54c65
15126041e3a501
hex920522f6bf9

10034422443001 has 16 divisors (see below), whose sum is σ = 11005337185920. Its totient is φ = 9073316452480.

The previous prime is 10034422442879. The next prime is 10034422443011.

10034422443001 is nontrivially palindromic in base 10.

10034422443001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10034422443001 - 223 = 10034414054393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10034422443011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6986565 + ... + 8299453.

It is an arithmetic number, because the mean of its divisors is an integer number (687833574120).

Almost surely, 210034422443001 is an apocalyptic number.

10034422443001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10034422443001 is a deficient number, since it is larger than the sum of its proper divisors (970914742919).

10034422443001 is a wasteful number, since it uses less digits than its factorization.

10034422443001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316624.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 1003442 and 2443001, that added together give a palindrome (3446443).

The spelling of 10034422443001 in words is "ten trillion, thirty-four billion, four hundred twenty-two million, four hundred forty-three thousand, one".

Divisors: 1 11 197 2167 3527 38797 694819 1312889 7643009 14441779 258639133 2845030463 4630559503 50936154533 912220222091 10034422443001