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31313212002 = 23210117223989
BaseRepresentation
bin11101001010011010…
…011011001001100010
32222211021022222120200
4131022122123021202
51003112140241002
622215102450030
72155653624162
oct351232331142
988737288520
1031313212002
1112309545706
12609a893916
132c50477917
141730a085a2
15c34078b1c
hex74a69b262

31313212002 has 24 divisors (see below), whose sum is σ = 68517032220. Its totient is φ = 10334392800.

The previous prime is 31313211997. The next prime is 31313212031. The reversal of 31313212002 is 20021231313.

It can be written as a sum of positive squares in 2 ways, for example, as 30712913001 + 600299001 = 175251^2 + 24501^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8610177 + ... + 8613812.

Almost surely, 231313212002 is an apocalyptic number.

31313212002 is an abundant number, since it is smaller than the sum of its proper divisors (37203820218).

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

31313212002 is a wasteful number, since it uses less digits than its factorization.

31313212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224098 (or 17224095 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31313212002 its reverse (20021231313), we get a palindrome (51334443315).

The spelling of 31313212002 in words is "thirty-one billion, three hundred thirteen million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 17223989 34447978 51671967 103343934 155015901 310031802 1739622889 3479245778 5218868667 10437737334 15656606001 31313212002