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200011101012020 = 225174709411249133
BaseRepresentation
bin101101011110100010110110…
…101000001000000000110100
3222020011212121112010220020202
4231132202312220020000310
5202203440213324341040
61545215455322420032
760062216352336164
oct5536426650100064
9866155545126222
10200011101012020
1158803260273a51
121a5235a9061618
13877ac730c284c
1437568360aa5a4
15181cb33933015
hexb5e8b6a08034

200011101012020 has 48 divisors (see below), whose sum is σ = 444731866156368. Its totient is φ = 75298076682240.

The previous prime is 200011101012013. The next prime is 200011101012029. The reversal of 200011101012020 is 20210101110002.

It can be written as a sum of positive squares in 8 ways, for example, as 7654894495504 + 192356206516516 = 2766748^2 + 13869254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200011101011992 and 200011101012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200011101012029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159495374 + ... + 160744506.

It is an arithmetic number, because the mean of its divisors is an integer number (9265247211591).

Almost surely, 2200011101012020 is an apocalyptic number.

200011101012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011101012020 is an abundant number, since it is smaller than the sum of its proper divisors (244720765144348).

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

200011101012020 is a wasteful number, since it uses less digits than its factorization.

200011101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720100 (or 1720098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200011101012020 its reverse (20210101110002), we get a palindrome (220221202122022).

The spelling of 200011101012020 in words is "two hundred trillion, eleven billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 470941 941882 1249133 1883764 2354705 2498266 4709410 4996532 6245665 8005997 9418820 12491330 16011994 21235261 24982660 32023988 40029985 42470522 80059970 84941044 106176305 160119940 212352610 424705220 588267944153 1176535888306 2353071776612 2941339720765 5882679441530 10000555050601 11765358883060 20001110101202 40002220202404 50002775253005 100005550506010 200011101012020