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301120140 = 2235231131931
BaseRepresentation
bin10001111100101…
…011101010001100
3202222121111011210
4101330223222030
51104041321030
645514014420
710314323166
oct2174535214
9688544153
10301120140
11144a7a022
1284a17410
134a5008c9
142bdc5936
151b680bb0
hex11f2ba8c

301120140 has 96 divisors (see below), whose sum is σ = 888039936. Its totient is φ = 76088320.

The previous prime is 301120139. The next prime is 301120147. The reversal of 301120140 is 41021103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (301120147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154975 + ... + 156905.

It is an arithmetic number, because the mean of its divisors is an integer number (9250416).

Almost surely, 2301120140 is an apocalyptic number.

301120140 is a gapful number since it is divisible by the number (30) 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 301120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444019968).

301120140 is an abundant number, since it is smaller than the sum of its proper divisors (586919796).

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

301120140 is a wasteful number, since it uses less digits than its factorization.

301120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 301120140 is about 17352.8136047155. The cubic root of 301120140 is about 670.2650915064.

Adding to 301120140 its reverse (41021103), we get a palindrome (342141243).

The spelling of 301120140 in words is "three hundred one million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 113 115 138 226 230 276 339 345 452 460 565 678 690 1130 1356 1380 1695 1931 2260 2599 3390 3862 5198 5793 6780 7724 7797 9655 10396 11586 12995 15594 19310 23172 25990 28965 31188 38620 38985 44413 51980 57930 77970 88826 115860 133239 155940 177652 218203 222065 266478 436406 444130 532956 654609 666195 872812 888260 1091015 1309218 1332390 2182030 2618436 2664780 3273045 4364060 5018669 6546090 10037338 13092180 15056007 20074676 25093345 30112014 50186690 60224028 75280035 100373380 150560070 301120140