Search a number
-
+
303004424133 = 3342126656499
BaseRepresentation
bin1000110100011000111…
…10001001011111000101
31001222002220021120212000
410122030132021133011
514431023113033013
6351110500215513
730614506052355
oct4321436113705
91058086246760
10303004424133
1110755a109654
124a88369a599
132275b401a78
141094617ab65
157d36328973
hex468c7897c5

303004424133 has 16 divisors (see below), whose sum is σ = 449961720000. Its totient is φ = 201523124880.

The previous prime is 303004424123. The next prime is 303004424141. The reversal of 303004424133 is 331424400303.

It is not a de Polignac number, because 303004424133 - 26 = 303004424069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 303004424097 and 303004424106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303004424123) 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 15 ways as a sum of consecutive naturals, for example, 13316883 + ... + 13339616.

It is an arithmetic number, because the mean of its divisors is an integer number (28122607500).

Almost surely, 2303004424133 is an apocalyptic number.

It is an amenable number.

303004424133 is a deficient number, since it is larger than the sum of its proper divisors (146957295867).

303004424133 is a wasteful number, since it uses less digits than its factorization.

303004424133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26656929 (or 26656923 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 303004424133 its reverse (331424400303), we get a palindrome (634428824436).

The spelling of 303004424133 in words is "three hundred three billion, four million, four hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 27 421 1263 3789 11367 26656499 79969497 239908491 719725473 11222386079 33667158237 101001474711 303004424133