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10001030330000 = 24541935181881
BaseRepresentation
bin1001000110001000101111…
…0111000011011010010000
31022102002101222222102212202
42101202023313003122100
52302324102231030000
633134224312342332
72051356566116663
oct221421367033220
938362358872782
1010001030330000
11320645a993216
1211563249a49a8
13577129754948
142680a3cd36da
1512523a615dd5
hex9188bdc3690

10001030330000 has 100 divisors (see below), whose sum is σ = 24338957749788. Its totient is φ = 3979683840000.

The previous prime is 10001030329991. The next prime is 10001030330021. The reversal of 10001030330000 is 3303010001.

It can be written as a sum of positive squares in 10 ways, for example, as 9670308722944 + 330721607056 = 3109712^2 + 575084^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 660941 + ... + 4520940.

Almost surely, 210001030330000 is an apocalyptic number.

10001030330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001030330000 is an abundant number, since it is smaller than the sum of its proper divisors (14337927419788).

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

10001030330000 is an equidigital number, since it uses as much as digits as its factorization.

10001030330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182102 (or 5182081 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 10001030330000 its reverse (3303010001), we get a palindrome (10004333340001).

The spelling of 10001030330000 in words is "ten trillion, one billion, thirty million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 625 772 965 1000 1250 1544 1930 2000 2500 3088 3860 4825 5000 7720 9650 10000 15440 19300 24125 38600 48250 77200 96500 120625 193000 241250 386000 482500 965000 1930000 5181881 10363762 20727524 25909405 41455048 51818810 82910096 103637620 129547025 207275240 259094050 414550480 518188100 647735125 1000103033 1036376200 1295470250 2000206066 2072752400 2590940500 3238675625 4000412132 5000515165 5181881000 6477351250 8000824264 10001030330 10363762000 12954702500 16001648528 20002060660 25002575825 25909405000 40004121320 50005151650 51818810000 80008242640 100010303300 125012879125 200020606600 250025758250 400041213200 500051516500 625064395625 1000103033000 1250128791250 2000206066000 2500257582500 5000515165000 10001030330000