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311002112 = 210303713
BaseRepresentation
bin10010100010011…
…000010000000000
3210200012112200202
4102202120100000
51114104031422
650505504332
710464321461
oct2242302000
9720175622
10311002112
1114a609543
12881a20a8
134c580825
142d438d68
151c483b92
hex12898400

311002112 has 22 divisors (see below), whose sum is σ = 621702558. Its totient is φ = 155500544.

The previous prime is 311002037. The next prime is 311002117. The reversal of 311002112 is 211200113.

It can be written as a sum of positive squares in only one way, i.e., 213861376 + 97140736 = 14624^2 + 9856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311002093 and 311002102.

It is not an unprimeable number, because it can be changed into a prime (311002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150833 + ... + 152880.

Almost surely, 2311002112 is an apocalyptic number.

311002112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311002112 is a deficient number, since it is larger than the sum of its proper divisors (310700446).

311002112 is an equidigital number, since it uses as much as digits as its factorization.

311002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303733 (or 303715 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 311002112 is about 17635.2519687131. The cubic root of 311002112 is about 677.5184288955.

Adding to 311002112 its reverse (211200113), we get a palindrome (522202225).

The spelling of 311002112 in words is "three hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 303713 607426 1214852 2429704 4859408 9718816 19437632 38875264 77750528 155501056 311002112