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301431044133 = 322310007145517
BaseRepresentation
bin1000110001011101011…
…00001011100000100101
31001211001020200121020200
410120232230023200211
514414312321403013
6350250413221113
730530512412562
oct4305654134045
91054036617220
10301431044133
11106921a699aa
124a504791799
132256a45969b
1410837215869
157c93136e73
hex462eb0b825

301431044133 has 24 divisors (see below), whose sum is σ = 454379372928. Its totient is φ = 192196368672.

The previous prime is 301431044119. The next prime is 301431044153. The reversal of 301431044133 is 331440134103.

301431044133 is a `hidden beast` number, since 3 + 0 + 143 + 104 + 413 + 3 = 666.

It is not a de Polignac number, because 301431044133 - 217 = 301430913061 is a prime.

It is a super-2 number, since 2×3014310441332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301431044097 and 301431044106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301431044153) 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 23 ways as a sum of consecutive naturals, for example, 1998691 + ... + 2144207.

It is an arithmetic number, because the mean of its divisors is an integer number (18932473872).

Almost surely, 2301431044133 is an apocalyptic number.

It is an amenable number.

301431044133 is a deficient number, since it is larger than the sum of its proper divisors (152948328795).

301431044133 is a wasteful number, since it uses less digits than its factorization.

301431044133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155553 (or 155550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 301431044133 its reverse (331440134103), we get a palindrome (632871178236).

The spelling of 301431044133 in words is "three hundred one billion, four hundred thirty-one million, forty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 23 69 207 10007 30021 90063 145517 230161 436551 690483 1309653 2071449 3346891 10040673 30122019 1456188619 4368565857 13105697571 33492338237 100477014711 301431044133