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30202112020000 = 25542197768713
BaseRepresentation
bin1101101110111111110100…
…01010001000111000100000
310221221021221010010011202111
412313133322022020320200
512424312411134120000
6144122354141125104
76235013330252014
oct667377212107040
9127837833104674
1030202112020000
119694709960128
123479456259794
1313b107c1973ab
14765b0bb66544
1537595d88bcba
hex1b77fa288e20

30202112020000 has 120 divisors (see below), whose sum is σ = 74306188155276. Its totient is φ = 12080119296000.

The previous prime is 30202112019923. The next prime is 30202112020007. The reversal of 30202112020000 is 2021120203.

It can be written as a sum of positive squares in 10 ways, for example, as 3535257331984 + 26666854688016 = 1880228^2 + 5163996^2 .

It is not an unprimeable number, because it can be changed into a prime (30202112020007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 439505644 + ... + 439574356.

Almost surely, 230202112020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30202112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37153094077638).

30202112020000 is an abundant number, since it is smaller than the sum of its proper divisors (44104076135276).

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

30202112020000 is an equidigital number, since it uses as much as digits as its factorization.

30202112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90720 (or 90697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 30202112020000 its reverse (2021120203), we get a palindrome (30204133140203).

The spelling of 30202112020000 in words is "thirty trillion, two hundred two billion, one hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 21977 43954 68713 87908 109885 137426 175816 219770 274852 343565 351632 439540 549425 549704 687130 703264 879080 1098850 1099408 1374260 1717825 1758160 2197700 2198816 2747125 2748520 3435650 3516320 4395400 5494250 5497040 6871300 8589125 8790800 10988500 10994080 13735625 13742600 17178250 17581600 21977000 27471250 27485200 34356500 42945625 43954000 54942500 54970400 68713000 85891250 87908000 109885000 137426000 171782500 219770000 274852000 343565000 439540000 687130000 1374260000 1510105601 3020211202 6040422404 7550528005 12080844808 15101056010 24161689616 30202112020 37752640025 48323379232 60404224040 75505280050 120808448080 151010560100 188763200125 241616896160 302021120200 377526400250 604042240400 755052800500 943816000625 1208084480800 1510105601000 1887632001250 3020211202000 3775264002500 6040422404000 7550528005000 15101056010000 30202112020000