Search a number
-
+
300332013023133 = 327135919774342463
BaseRepresentation
bin100010001001001100111111…
…0111100110110111110011101
31110101101110102101000200120200
41010102121332330312332131
5303331114430313220013
62542430342211334113
7120155162154553410
oct10422317674667635
91411343371020520
10300332013023133
1187771100791933
12298264335b1339
13cb77258682760
14542420b4abb77
1524ac4d172ce73
hex111267ef36f9d

300332013023133 has 192 divisors, whose sum is σ = 546476703252480. Its totient is φ = 154729158280704.

The previous prime is 300332013023117. The next prime is 300332013023221. The reversal of 300332013023133 is 331320310233003.

300332013023133 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 320 + 1 + 302 + 3 + 1 + 33 = 666.

It is not a de Polignac number, because 300332013023133 - 24 = 300332013023117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300332013023097 and 300332013023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300332013023333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7072771860 + ... + 7072814322.

It is an arithmetic number, because the mean of its divisors is an integer number (2846232829440).

Almost surely, 2300332013023133 is an apocalyptic number.

It is an amenable number.

300332013023133 is a deficient number, since it is larger than the sum of its proper divisors (246144690229347).

300332013023133 is a wasteful number, since it uses less digits than its factorization.

300332013023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43488 (or 43485 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 300332013023133 its reverse (331320310233003), we get a palindrome (631652323256136).

The spelling of 300332013023133 in words is "three hundred trillion, three hundred thirty-two billion, thirteen million, twenty-three thousand, one hundred thirty-three".