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301134431103 = 31133892692619
BaseRepresentation
bin1000110000111010000…
…00101100001101111111
31001210021120120002122220
410120131000230031333
514413210403243403
6350201135540423
730520251300552
oct4303500541577
91053246502586
10301134431103
1110678a599170
124a44138a713
1322520b7640c
1410809a84699
157c77096953
hex461d02c37f

301134431103 has 16 divisors (see below), whose sum is σ = 438143126400. Its totient is φ = 182451795680.

The previous prime is 301134431063. The next prime is 301134431137.

301134431103 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-301134431103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301134431903) 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, 1234473 + ... + 1458146.

It is an arithmetic number, because the mean of its divisors is an integer number (27383945400).

Almost surely, 2301134431103 is an apocalyptic number.

301134431103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

301134431103 is a deficient number, since it is larger than the sum of its proper divisors (137008695297).

301134431103 is a wasteful number, since it uses less digits than its factorization.

301134431103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696022.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 301134 and 431103, that added together give a palindrome (732237).

The spelling of 301134431103 in words is "three hundred one billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred three".

Divisors: 1 3 11 33 3389 10167 37279 111837 2692619 8077857 29618809 88856427 9125285791 27375857373 100378143701 301134431103