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30000318000 = 2435310914583
BaseRepresentation
bin11011111100001010…
…001000011000110000
32212102202220001120220
4123330022020120300
5442420040134000
621440522533040
72111302331652
oct337412103060
985382801526
1030000318000
11117a5440a44
125993067180
132aa1476a73
1416484cc6d2
15ba8b8d1a0
hex6fc288630

30000318000 has 160 divisors (see below), whose sum is σ = 96830802432. Its totient is φ = 7991008000.

The previous prime is 30000317999. The next prime is 30000318017. The reversal of 30000318000 is 81300003.

It is a super-2 number, since 2×300003180002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6543709 + ... + 6548291.

Almost surely, 230000318000 is an apocalyptic number.

30000318000 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 30000318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48415401216).

30000318000 is an abundant number, since it is smaller than the sum of its proper divisors (66830484432).

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

30000318000 is a wasteful number, since it uses less digits than its factorization.

30000318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30000318000 its reverse (81300003), we get a palindrome (30081618003).

It can be divided in two parts, 300003 and 18000, that added together give a triangular number (318003 = T797).

The spelling of 30000318000 in words is "thirty billion, three hundred eighteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1091 1200 1500 2000 2182 3000 3273 4364 4583 5455 6000 6546 8728 9166 10910 13092 13749 16365 17456 18332 21820 22915 26184 27275 27498 32730 36664 43640 45830 52368 54550 54996 65460 68745 73328 81825 87280 91660 109100 109992 114575 130920 136375 137490 163650 183320 218200 219984 229150 261840 272750 274980 327300 343725 366640 409125 436400 458300 545500 549960 572875 654600 687450 818250 916600 1091000 1099920 1145750 1309200 1374900 1636500 1718625 1833200 2182000 2291500 2749800 3273000 3437250 4583000 5000053 5499600 6546000 6874500 9166000 10000106 13749000 15000159 20000212 25000265 27498000 30000318 40000424 50000530 60000636 75000795 80000848 100001060 120001272 125001325 150001590 200002120 240002544 250002650 300003180 375003975 400004240 500005300 600006360 625006625 750007950 1000010600 1200012720 1250013250 1500015900 1875019875 2000021200 2500026500 3000031800 3750039750 5000053000 6000063600 7500079500 10000106000 15000159000 30000318000