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300133131000 = 23353127787751
BaseRepresentation
bin1000101111000010101…
…01000010001011111000
31001200200210102210010220
410113201111002023320
514404133040143000
6345513530340040
730453402343353
oct4274125021370
91050623383126
10300133131000
1110631636761a
124a201b8a620
13223c15a2551
1410752ab929a
157c1920a1a0
hex45e15422f8

300133131000 has 128 divisors (see below), whose sum is σ = 943789916160. Its totient is φ = 79405200000.

The previous prime is 300133130953. The next prime is 300133131013. The reversal of 300133131000 is 131331003.

It is a super-2 number, since 2×3001331310002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12876 + ... + 774875.

It is an arithmetic number, because the mean of its divisors is an integer number (7373358720).

Almost surely, 2300133131000 is an apocalyptic number.

300133131000 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 300133131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471894958080).

300133131000 is an abundant number, since it is smaller than the sum of its proper divisors (643656785160).

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

300133131000 is a wasteful number, since it uses less digits than its factorization.

300133131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787902 (or 787888 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 300133131000 its reverse (131331003), we get a palindrome (300264462003).

The spelling of 300133131000 in words is "three hundred billion, one hundred thirty-three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 25400 31750 38100 47625 63500 76200 95250 127000 190500 381000 787751 1575502 2363253 3151004 3938755 4726506 6302008 7877510 9453012 11816265 15755020 18906024 19693775 23632530 31510040 39387550 47265060 59081325 78775100 94530120 98468875 100044377 118162650 157550200 196937750 200088754 236325300 295406625 300133131 393875500 400177508 472650600 500221885 590813250 600266262 787751000 800355016 1000443770 1181626500 1200532524 1500665655 2000887540 2363253000 2401065048 2501109425 3001331310 4001775080 5002218850 6002662620 7503328275 10004437700 12005325240 12505547125 15006656550 20008875400 25011094250 30013313100 37516641375 50022188500 60026626200 75033282750 100044377000 150066565500 300133131000