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10010011020020 = 225111071193356441
BaseRepresentation
bin1001000110101010001100…
…1001101010101011110100
31022102221120212201202120122
42101222203021222223310
52303001000310120040
633142311403551112
72052125255534504
oct221524311525364
938387525652518
1010010011020020
11320a249295590
12115801052b498
13577c2b2038cb
142686b691da04
151255b3c7b1b5
hex91aa326aaf4

10010011020020 has 96 divisors (see below), whose sum is σ = 23165810027136. Its totient is φ = 3602952550400.

The previous prime is 10010011020019. The next prime is 10010011020041. The reversal of 10010011020020 is 2002011001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27905000 + ... + 28261440.

It is an arithmetic number, because the mean of its divisors is an integer number (241310521116).

Almost surely, 210010011020020 is an apocalyptic number.

10010011020020 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 10010011020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582905013568).

10010011020020 is an abundant number, since it is smaller than the sum of its proper divisors (13155799007116).

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

10010011020020 is a wasteful number, since it uses less digits than its factorization.

10010011020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357761 (or 357759 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010011020020 its reverse (2002011001001), we get a palindrome (12012022021021).

The spelling of 10010011020020 in words is "ten trillion, ten billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 1193 2140 2354 2386 4708 4772 5885 5965 11770 11930 13123 23540 23860 26246 52492 65615 127651 131230 255302 262460 356441 510604 638255 712882 1276510 1404161 1425764 1782205 2553020 2808322 3564410 3920851 5616644 7020805 7128820 7841702 14041610 15683404 19604255 28083220 38139187 39208510 76278374 78417020 152556748 190695935 381391870 419531057 425234113 762783740 839062114 850468226 1678124228 1700936452 2097655285 2126170565 4195310570 4252341130 4677575243 8390621140 8504682260 9355150486 18710300972 23387876215 45500050091 46775752430 91000100182 93551504860 182000200364 227500250455 455000500910 500500551001 910001001820 1001001102002 2002002204004 2502502755005 5005005510010 10010011020020