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301424013 = 321110872801
BaseRepresentation
bin10001111101110…
…101110110001101
3210000011221000100
4101331311312031
51104131032023
645524321313
710320030132
oct2175656615
9700157010
10301424013
11145167360
1284b43239
134a5a9007
142c064589
151b6e0c43
hex11f75d8d

301424013 has 24 divisors (see below), whose sum is σ = 475577856. Its totient is φ = 182448000.

The previous prime is 301423981. The next prime is 301424017. The reversal of 301424013 is 310424103.

It is not a de Polignac number, because 301424013 - 25 = 301423981 is a prime.

It is a super-2 number, since 2×3014240132 = 181712871226048338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301424017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106213 + ... + 109013.

It is an arithmetic number, because the mean of its divisors is an integer number (19815744).

Almost surely, 2301424013 is an apocalyptic number.

301424013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

301424013 is a deficient number, since it is larger than the sum of its proper divisors (174153843).

301424013 is a wasteful number, since it uses less digits than its factorization.

301424013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 301424013 is about 17361.5671239667. The cubic root of 301424013 is about 670.4904799400.

Adding to 301424013 its reverse (310424103), we get a palindrome (611848116).

The spelling of 301424013 in words is "three hundred one million, four hundred twenty-four thousand, thirteen".

Divisors: 1 3 9 11 33 99 1087 2801 3261 8403 9783 11957 25209 30811 35871 92433 107613 277299 3044687 9134061 27402183 33491557 100474671 301424013