Search a number
-
+
434101011123 = 313671391195189
BaseRepresentation
bin1100101000100100110…
…11111100001010110011
31112111111020122020000210
412110102123330022303
524103014324323443
6531231231115203
743235266466343
oct6242233741263
91474436566023
10434101011123
1115811278181a
127016b672b03
1331c21530930
1417021136d23
15b45a59bc33
hex65126fc2b3

434101011123 has 32 divisors (see below), whose sum is σ = 637179692800. Its totient is φ = 261258535296.

The previous prime is 434101011119. The next prime is 434101011151. The reversal of 434101011123 is 321110101434.

434101011123 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 434101011123 - 22 = 434101011119 is a prime.

It is a super-2 number, since 2×4341010111232 (a number of 24 digits) contains 22 as substring.

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 434101011123.

It is not an unprimeable number, because it can be changed into a prime (434101011193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234388 + ... + 960801.

It is an arithmetic number, because the mean of its divisors is an integer number (19911865400).

Almost surely, 2434101011123 is an apocalyptic number.

434101011123 is a deficient number, since it is larger than the sum of its proper divisors (203078681677).

434101011123 is a wasteful number, since it uses less digits than its factorization.

434101011123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195411.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 434101011123 its reverse (321110101434), we get a palindrome (755211112557).

The spelling of 434101011123 in words is "four hundred thirty-four billion, one hundred one million, eleven thousand, one hundred twenty-three".

Divisors: 1 3 13 39 67 139 201 417 871 1807 2613 5421 9313 27939 121069 363207 1195189 3585567 15537457 46612371 80077663 166131271 240232989 498393813 1041009619 2159706523 3123028857 6479119569 11130795157 33392385471 144700337041 434101011123