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318135300 = 223527197769
BaseRepresentation
bin10010111101100…
…101110000000100
3211011121221120220
4102331211300010
51122420312200
651322424340
710612051110
oct2275456004
9734557526
10318135300
1115364083a
128a6620b0
1350baa552
1430374740
151cde24a0
hex12f65c04

318135300 has 144 divisors (see below), whose sum is σ = 1058682240. Its totient is φ = 72253440.

The previous prime is 318135283. The next prime is 318135317. The reversal of 318135300 is 3531813.

It is an interprime number because it is at equal distance from previous prime (318135283) and next prime (318135317).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 413316 + ... + 414084.

It is an arithmetic number, because the mean of its divisors is an integer number (7351960).

Almost surely, 2318135300 is an apocalyptic number.

318135300 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 318135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529341120).

318135300 is an abundant number, since it is smaller than the sum of its proper divisors (740546940).

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

318135300 is a wasteful number, since it uses less digits than its factorization.

318135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 318135300 is about 17836.3477203154. The cubic root of 318135300 is about 682.6592095938.

The spelling of 318135300 in words is "three hundred eighteen million, one hundred thirty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 197 210 300 350 394 420 525 591 700 769 788 985 1050 1182 1379 1538 1970 2100 2307 2364 2758 2955 3076 3845 3940 4137 4614 4925 5383 5516 5910 6895 7690 8274 9228 9850 10766 11535 11820 13790 14775 15380 16149 16548 19225 19700 20685 21532 23070 26915 27580 29550 32298 34475 38450 41370 46140 53830 57675 59100 64596 68950 76900 80745 82740 103425 107660 115350 134575 137900 151493 161490 206850 230700 269150 302986 322980 403725 413700 454479 538300 605972 757465 807450 908958 1060451 1514930 1614900 1817916 2120902 2272395 3029860 3181353 3787325 4241804 4544790 5302255 6362706 7574650 9089580 10604510 11361975 12725412 15149300 15906765 21209020 22723950 26511275 31813530 45447900 53022550 63627060 79533825 106045100 159067650 318135300