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313014321032 = 23726113090261
BaseRepresentation
bin1001000111000010001…
…10110111111110001000
31002220221111200000222012
410203201012313332020
520112023131233112
6355444035115052
731420533554300
oct4434106677610
91086844600865
10313014321032
11110826473316
12507b7a42a88
1323695175b9a
1411215758600
15821eede022
hex48e11b7f88

313014321032 has 48 divisors (see below), whose sum is σ = 693914788620. Its totient is φ = 131949820800.

The previous prime is 313014321013. The next prime is 313014321041. The reversal of 313014321032 is 230123410313.

It can be written as a sum of positive squares in 2 ways, for example, as 312988778116 + 25542916 = 559454^2 + 5054^2 .

It is a super-2 number, since 2×3130143210322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313014320989 and 313014321007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6521219 + ... + 6569042.

Almost surely, 2313014321032 is an apocalyptic number.

It is an amenable number.

313014321032 is an abundant number, since it is smaller than the sum of its proper divisors (380900467588).

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

313014321032 is a wasteful number, since it uses less digits than its factorization.

313014321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090342 (or 13090331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 313014321032 its reverse (230123410313), we get a palindrome (543137731345).

The spelling of 313014321032 in words is "three hundred thirteen billion, fourteen million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 392 427 488 854 1708 2989 3416 5978 11956 23912 13090261 26180522 52361044 91631827 104722088 183263654 366527308 641422789 733054616 798505921 1282845578 1597011842 2565691156 3194023684 5131382312 5589541447 6388047368 11179082894 22358165788 39126790129 44716331576 78253580258 156507160516 313014321032