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310314444324031 = 71929157512451419
BaseRepresentation
bin100011010001110101011011…
…0001110001111110010111111
31111200201202211011122112222201
41012203222312032033302333
5311133142440221332111
63015552253202252331
7122235323132604640
oct10643526616176277
91450652734575881
10310314444324031
118a96a686a38214
122a9790276570a7
131041c6aca5b124
14568b4291a16c7
1525d1ece0b06c1
hex11a3ab638fcbf

310314444324031 has 32 divisors (see below), whose sum is σ = 388643156928000. Its totient is φ = 241745881732992.

The previous prime is 310314444324029. The next prime is 310314444324061. The reversal of 310314444324031 is 130423444413013.

It is not a de Polignac number, because 310314444324031 - 21 = 310314444324029 is a prime.

It is a super-2 number, since 2×3103144443240312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310314444324061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255620161 + ... + 256831258.

It is an arithmetic number, because the mean of its divisors is an integer number (12145098654000).

Almost surely, 2310314444324031 is an apocalyptic number.

310314444324031 is a deficient number, since it is larger than the sum of its proper divisors (78328712603969).

310314444324031 is a wasteful number, since it uses less digits than its factorization.

310314444324031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512451631.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 310314444324031 its reverse (130423444413013), we get a palindrome (440737888737044).

The spelling of 310314444324031 in words is "three hundred ten trillion, three hundred fourteen billion, four hundred forty-four million, three hundred twenty-four thousand, thirty-one".

Divisors: 1 7 19 29 133 157 203 551 1099 2983 3857 4553 20881 31871 86507 605549 512451419 3587159933 9736576961 14861091151 68156038727 80454872783 104027638057 282360731869 563184109481 1528642582877 1976525123083 2333191310707 10700498080139 16332339174949 44330634903433 310314444324031