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312252401060 = 22552732960861
BaseRepresentation
bin1001000101100111011…
…00011000010110100100
31002211222101222111020222
410202303230120112210
520103443103313220
6355240300343512
731362622421255
oct4426354302644
91084871874228
10312252401060
11110475381596
1250624844b98
13235a3366972
14111824a2b2c
1581c8189e25
hex48b3b185a4

312252401060 has 24 divisors (see below), whose sum is σ = 655854619896. Its totient is φ = 124877231360.

The previous prime is 312252401053. The next prime is 312252401063. The reversal of 312252401060 is 60104252213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66654846976 + 245597554084 = 258176^2 + 495578^2 .

It is a super-3 number, since 3×3122524010603 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312252401063) 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 7 ways as a sum of consecutive naturals, for example, 1374971 + ... + 1585890.

It is an arithmetic number, because the mean of its divisors is an integer number (27327275829).

Almost surely, 2312252401060 is an apocalyptic number.

It is an amenable number.

312252401060 is an abundant number, since it is smaller than the sum of its proper divisors (343602218836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312252401060 is a wasteful number, since it uses less digits than its factorization.

312252401060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966143 (or 2966141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 312252401060 its reverse (60104252213), we get a palindrome (372356653273).

The spelling of 312252401060 in words is "three hundred twelve billion, two hundred fifty-two million, four hundred one thousand, sixty".

Divisors: 1 2 4 5 10 20 5273 10546 21092 26365 52730 105460 2960861 5921722 11843444 14804305 29608610 59217220 15612620053 31225240106 62450480212 78063100265 156126200530 312252401060