Search a number
-
+
10010434440303 = 3211212503735209
BaseRepresentation
bin1001000110101011110001…
…1000111000110001101111
31022102222200101110202000100
42101222330120320301233
52303002332204042203
633142421411202143
72052141616542123
oct221527430706157
938388611422010
1010010434440303
11320a4462a7500
12115810a2a6353
13577c97b5535b
14268716c5d583
151255db018ea3
hex91abc638c6f

10010434440303 has 36 divisors (see below), whose sum is σ = 15894810837360. Its totient is φ = 6066436474560.

The previous prime is 10010434440277. The next prime is 10010434440319. The reversal of 10010434440303 is 30304443401001.

10010434440303 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 4 + 344 + 4 + 0 + 303 = 666.

It is not a de Polignac number, because 10010434440303 - 25 = 10010434440271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010434440103) 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 35 ways as a sum of consecutive naturals, for example, 13248163 + ... + 13983371.

It is an arithmetic number, because the mean of its divisors is an integer number (441522523260).

Almost surely, 210010434440303 is an apocalyptic number.

10010434440303 is a deficient number, since it is larger than the sum of its proper divisors (5884376397057).

10010434440303 is a wasteful number, since it uses less digits than its factorization.

10010434440303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747740 (or 747726 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10010434440303 its reverse (30304443401001), we get a palindrome (40314877841304).

The spelling of 10010434440303 in words is "ten trillion, ten billion, four hundred thirty-four million, four hundred forty thousand, three hundred three".

Divisors: 1 3 9 11 33 99 121 363 1089 12503 37509 112527 137533 412599 735209 1237797 1512863 2205627 4538589 6616881 8087299 13615767 24261897 72785691 88960289 266880867 800642601 9192318127 27576954381 82730863143 101115499397 303346498191 910039494573 1112270493367 3336811480101 10010434440303