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1030300020300 = 22352101290911689
BaseRepresentation
bin11101111111000101010…
…10101010111001001100
310122111101101020221100010
432333202222222321030
5113340023301122200
62105151401033220
7134302536450435
oct16774252527114
93574341227303
101030300020300
11367a47557691
12147819485810
1376206867a35
1437c1c66c48c
151bc018a5150
hexefe2aaae4c

1030300020300 has 144 divisors (see below), whose sum is σ = 3011808794400. Its totient is φ = 271909632000.

The previous prime is 1030300020263. The next prime is 1030300020317. The reversal of 1030300020300 is 30200030301.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88136856 + ... + 88148544.

It is an arithmetic number, because the mean of its divisors is an integer number (20915338850).

Almost surely, 21030300020300 is an apocalyptic number.

1030300020300 is a gapful number since it is divisible by the number (10) 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 1030300020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505904397200).

1030300020300 is an abundant number, since it is smaller than the sum of its proper divisors (1981508774100).

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

1030300020300 is a wasteful number, since it uses less digits than its factorization.

1030300020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14716 (or 14709 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 1030300020300 its reverse (30200030301), we get a palindrome (1060500050601).

The spelling of 1030300020300 in words is "one trillion, thirty billion, three hundred million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 2909 3030 5050 5818 6060 7575 8727 10100 11636 11689 14545 15150 17454 23378 29090 30300 34908 35067 43635 46756 58180 58445 70134 72725 87270 116890 140268 145450 174540 175335 218175 233780 290900 292225 293809 350670 436350 584450 587618 701340 872700 876675 881427 1168900 1175236 1180589 1469045 1753350 1762854 2361178 2938090 3506700 3525708 3541767 4407135 4722356 5876180 5902945 7083534 7345225 8814270 11805890 14167068 14690450 17628540 17708835 22035675 23611780 29380900 29514725 34003301 35417670 44071350 59029450 68006602 70835340 88142700 88544175 102009903 118058900 136013204 170016505 177088350 204019806 340033010 354176700 408039612 510049515 680066020 850082525 1020099030 1700165050 2040198060 2550247575 3400330100 3434333401 5100495150 6868666802 10200990300 10303000203 13737333604 17171667005 20606000406 34343334010 41212000812 51515001015 68686668020 85858335025 103030002030 171716670050 206060004060 257575005075 343433340100 515150010150 1030300020300