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300102112 = 25195367139
BaseRepresentation
bin10001111000110…
…011000111100000
3202220200202201001
4101320303013200
51103311231422
645440121344
710302553162
oct2170630740
9686622631
10300102112
11144444182
1284606254
134a23541b
142bbdc932
151b52e227
hex11e331e0

300102112 has 96 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 136401408.

The previous prime is 300102053. The next prime is 300102113. The reversal of 300102112 is 211201003.

It is a super-2 number, since 2×3001021122 = 180122555253721088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158939 + ... + 2159077.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2300102112 is an apocalyptic number.

300102112 is a gapful number since it is divisible by the number (32) 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 300102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

300102112 is an abundant number, since it is smaller than the sum of its proper divisors (347638688).

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

300102112 is a wasteful number, since it uses less digits than its factorization.

300102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 300102112 is about 17323.4555444345. The cubic root of 300102112 is about 669.5088938413.

Adding to 300102112 its reverse (211201003), we get a palindrome (511303115).

The spelling of 300102112 in words is "three hundred million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 53 67 76 106 134 139 152 212 268 278 304 424 536 556 608 848 1007 1072 1112 1273 1696 2014 2144 2224 2546 2641 3551 4028 4448 5092 5282 7102 7367 8056 9313 10184 10564 14204 14734 16112 18626 20368 21128 28408 29468 32224 37252 40736 42256 56816 58936 67469 74504 84512 113632 117872 134938 139973 149008 176947 235744 269876 279946 298016 353894 493589 539752 559892 707788 987178 1079504 1119784 1415576 1974356 2159008 2239568 2831152 3948712 4479136 5662304 7897424 9378191 15794848 18756382 37512764 75025528 150051056 300102112