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168312012 = 223117317467
BaseRepresentation
bin10100000100000…
…11110011001100
3102201201010200020
422002003303030
5321041441022
624411302140
74112425401
oct1202036314
9381633606
10168312012
118700a340
124844a950
1328b40c0b
14184d42a8
15eb9a35c
hexa083ccc

168312012 has 48 divisors (see below), whose sum is σ = 434324352. Its totient is φ = 50302080.

The previous prime is 168311987. The next prime is 168312017. The reversal of 168312012 is 210213861.

It is not an unprimeable number, because it can be changed into a prime (168312017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903 + ... + 18369.

It is an arithmetic number, because the mean of its divisors is an integer number (9048424).

Almost surely, 2168312012 is an apocalyptic number.

168312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217162176).

168312012 is an abundant number, since it is smaller than the sum of its proper divisors (266012340).

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

168312012 is a wasteful number, since it uses less digits than its factorization.

168312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 168312012 is about 12973.5119377908. The cubic root of 168312012 is about 552.1262182492.

Adding to 168312012 its reverse (210213861), we get a palindrome (378525873).

It can be divided in two parts, 1683 and 12012, that added together give a triangular number (13695 = T165).

The spelling of 168312012 in words is "one hundred sixty-eight million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 17467 34934 52401 69868 104802 192137 209604 384274 576411 768548 1152822 1275091 2305644 2550182 3825273 5100364 7650546 14026001 15301092 28052002 42078003 56104004 84156006 168312012