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20132021132220 = 22351097001439693
BaseRepresentation
bin1001001001111010110011…
…11101111101101110111100
32122021121021011111220110110
410210331121331331232330
510114320334402212340
6110452304533110020
74145330152103664
oct444753175755674
978247234456413
1020132021132220
116461a400a7778
122311879188310
13b30597b2149a
144d8575d231a4
1524da30383680
hex124f59f7dbbc

20132021132220 has 96 divisors (see below), whose sum is σ = 56895066930240. Its totient is φ = 5318514432000.

The previous prime is 20132021132219. The next prime is 20132021132231. The reversal of 20132021132220 is 2223112023102.

20132021132220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×201320211322204 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45566694 + ... + 46006386.

It is an arithmetic number, because the mean of its divisors is an integer number (592656947190).

Almost surely, 220132021132220 is an apocalyptic number.

20132021132220 is a gapful number since it is divisible by the number (20) 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 20132021132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28447533465120).

20132021132220 is an abundant number, since it is smaller than the sum of its proper divisors (36763045798020).

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

20132021132220 is a wasteful number, since it uses less digits than its factorization.

20132021132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446815 (or 446813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20132021132220 its reverse (2223112023102), we get a palindrome (22355133155322).

The spelling of 20132021132220 in words is "twenty trillion, one hundred thirty-two billion, twenty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 7001 14002 21003 28004 35005 42006 70010 84012 105015 140020 210030 420060 439693 763109 879386 1319079 1526218 1758772 2198465 2289327 2638158 3052436 3815545 4396930 4578654 5276316 6595395 7631090 8793860 9157308 11446635 13190790 15262180 22893270 26381580 45786540 47926537 95853074 143779611 191706148 239632685 287559222 479265370 575118444 718898055 958530740 1437796110 2875592220 3078290693 6156581386 9234872079 12313162772 15391453465 18469744158 30782906930 36939488316 46174360395 61565813860 92348720790 184697441580 335533685537 671067371074 1006601056611 1342134742148 1677668427685 2013202113222 3355336855370 4026404226444 5033005283055 6710673710740 10066010566110 20132021132220