Search a number
-
+
1134330334311 = 31737619854573
BaseRepresentation
bin10000100000011011010…
…110110100110001100111
311000102220102122110001010
4100200123112310301213
5122041102031144221
62225034255433303
7144644522516526
oct20403326646147
94012812573033
101134330334311
113a80809a1309
12163a10b25833
1382c75350a65
143cc8aa944bd
151e78e851c76
hex1081b5b4c67

1134330334311 has 32 divisors (see below), whose sum is σ = 1671651096768. Its totient is φ = 681148016640.

The previous prime is 1134330334303. The next prime is 1134330334321.

1134330334311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1134330334311 - 23 = 1134330334303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134330334321) 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 31 ways as a sum of consecutive naturals, for example, 4812180 + ... + 5042393.

It is an arithmetic number, because the mean of its divisors is an integer number (52239096774).

Almost surely, 21134330334311 is an apocalyptic number.

1134330334311 is a deficient number, since it is larger than the sum of its proper divisors (537320762457).

1134330334311 is a wasteful number, since it uses less digits than its factorization.

1134330334311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854691.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 1134330 and 334311, that added together give a palindrome (1468641).

The spelling of 1134330334311 in words is "one trillion, one hundred thirty-four billion, three hundred thirty million, three hundred thirty-four thousand, three hundred eleven".

Divisors: 1 3 17 37 51 61 111 183 629 1037 1887 2257 3111 6771 38369 115107 9854573 29563719 167527741 364619201 502583223 601128953 1093857603 1803386859 6198526417 10219192201 18595579251 22241771261 30657576603 66725313783 378110111437 1134330334311