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20011202200020 = 22351276534021657
BaseRepresentation
bin1001000110011001110001…
…00110010100000111010100
32121212001102002101020011210
410203030320212110013110
510110330420230400040
6110321004104101420
74133522150114103
oct443147046240724
977761362336153
1020011202200020
116415780a50789
1222b237b164870
13b22082085b65
144d2793d2403a
1524a80d566480
hex1233389941d4

20011202200020 has 96 divisors (see below), whose sum is σ = 56559053795328. Its totient is φ = 5286193339392.

The previous prime is 20011202200019. The next prime is 20011202200051. The reversal of 20011202200020 is 2000220211002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20011202199969 and 20011202200005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2965032 + ... + 6986688.

It is an arithmetic number, because the mean of its divisors is an integer number (589156810368).

Almost surely, 220011202200020 is an apocalyptic number.

20011202200020 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 20011202200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28279526897664).

20011202200020 is an abundant number, since it is smaller than the sum of its proper divisors (36547851595308).

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

20011202200020 is a wasteful number, since it uses less digits than its factorization.

20011202200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022449 (or 4022447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20011202200020 its reverse (2000220211002), we get a palindrome (22011422411022).

The spelling of 20011202200020 in words is "twenty trillion, eleven billion, two hundred two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 653 762 1270 1306 1524 1905 1959 2540 2612 3265 3810 3918 6530 7620 7836 9795 13060 19590 39180 82931 165862 248793 331724 414655 497586 829310 995172 1243965 1658620 2487930 4021657 4975860 8043314 12064971 16086628 20108285 24129942 40216570 48259884 60324855 80433140 120649710 241299420 510750439 1021500878 1532251317 2043001756 2553752195 2626142021 3064502634 5107504390 5252284042 6129005268 7661256585 7878426063 10215008780 10504568084 13130710105 15322513170 15756852126 26261420210 30645026340 31513704252 39392130315 52522840420 78784260630 157568521260 333520036667 667040073334 1000560110001 1334080146668 1667600183335 2001120220002 3335200366670 4002240440004 5002800550005 6670400733340 10005601100010 20011202200020