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310011012 = 223237232741
BaseRepresentation
bin10010011110100…
…110010010000100
3210121100012011100
4102132212102010
51113330323022
650432340100
710453023123
oct2236462204
9717305140
10310011012
11149aa1953
12879a4630
134c2c468c
142d25baba
151c33a1ac
hex127a6484

310011012 has 36 divisors (see below), whose sum is σ = 804821836. Its totient is φ = 100543680.

The previous prime is 310011007. The next prime is 310011019. The reversal of 310011012 is 210110013.

It can be written as a sum of positive squares in 2 ways, for example, as 181279296 + 128731716 = 13464^2 + 11346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3100110122 = 192213655122528288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310010985 and 310011003.

It is not an unprimeable number, because it can be changed into a prime (310011019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115039 + ... + 117702.

Almost surely, 2310011012 is an apocalyptic number.

It is an amenable number.

310011012 is an abundant number, since it is smaller than the sum of its proper divisors (494810824).

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

310011012 is a wasteful number, since it uses less digits than its factorization.

310011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232788 (or 232783 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 310011012 is about 17607.1295786678. The cubic root of 310011012 is about 676.7979588909.

Adding to 310011012 its reverse (210110013), we get a palindrome (520121025).

Subtracting from 310011012 its reverse (210110013), we obtain a palindrome (99900999).

The spelling of 310011012 in words is "three hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 232741 465482 698223 930964 1396446 2094669 2792892 4189338 8378676 8611417 17222834 25834251 34445668 51668502 77502753 103337004 155005506 310011012