Search a number
-
+
303134114141 = 31472414312003
BaseRepresentation
bin1000110100101000011…
…00111000000101011101
31001222102221022112002122
410122110030320011131
514431304313123031
6351131412032325
730620642312345
oct4322414700535
91058387275078
10303134114141
11107616339681
124a8bb0026a5
132277c23c411
1410959499d25
157d428e547b
hex469433815d

303134114141 has 32 divisors (see below), whose sum is σ = 321801486336. Its totient is φ = 285116832000.

The previous prime is 303134114113. The next prime is 303134114167. The reversal of 303134114141 is 141411431303.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-303134114141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 303134114141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303134114741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151339046 + ... + 151341048.

It is an arithmetic number, because the mean of its divisors is an integer number (10056296448).

Almost surely, 2303134114141 is an apocalyptic number.

303134114141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

303134114141 is a deficient number, since it is larger than the sum of its proper divisors (18667372195).

303134114141 is a wasteful number, since it uses less digits than its factorization.

303134114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 303134114141 its reverse (141411431303), we get a palindrome (444545545444).

The spelling of 303134114141 in words is "three hundred three billion, one hundred thirty-four million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 31 47 241 431 1457 2003 7471 11327 13361 20257 62093 94141 103871 351137 482723 627967 863293 2918371 3220001 4881937 14964413 22687981 26762083 40574771 151340047 208053613 703327411 1257817901 6449662003 9778519811 303134114141