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200100212202020 = 22513769616200777
BaseRepresentation
bin101101011111110101110110…
…000100010101101000100100
3222020111101121211120101021012
4231133311312010111220210
5202211420213310431040
61545324433552441352
760101522540061014
oct5537656604255044
9866441554511235
10200100212202020
1158838029205a19
121a538918249258
1387864a4a38840
14375ac8ad21c44
1518200ebc43865
hexb5fd76115a24

200100212202020 has 24 divisors (see below), whose sum is σ = 452534326057464. Its totient is φ = 73883155274496.

The previous prime is 200100212201999. The next prime is 200100212202101. The reversal of 200100212202020 is 20202212001002.

It can be written as a sum of positive squares in 4 ways, for example, as 1995037601764 + 198105174600256 = 1412458^2 + 14074984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200100212201986 and 200100212202004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384808100129 + ... + 384808100648.

It is an arithmetic number, because the mean of its divisors is an integer number (18855596919061).

Almost surely, 2200100212202020 is an apocalyptic number.

200100212202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100212202020 is an abundant number, since it is smaller than the sum of its proper divisors (252434113855444).

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

200100212202020 is a wasteful number, since it uses less digits than its factorization.

200100212202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769616200799 (or 769616200797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200100212202020 its reverse (20202212001002), we get a palindrome (220302424203022).

The spelling of 200100212202020 in words is "two hundred trillion, one hundred billion, two hundred twelve million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 769616200777 1539232401554 3078464803108 3848081003885 7696162007770 10005010610101 15392324015540 20010021220202 40020042440404 50025053050505 100050106101010 200100212202020