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200202021110020 = 2251718115527209519
BaseRepresentation
bin101101100001010100101010…
…010110100000000100000100
3222020212010102001222202210111
4231201110222112200010010
5202220102214401010040
61545443312215002404
760112055500364536
oct5541245226400404
9866763361882714
10200202021110020
115887722272a406
121a5545ab969404
138792c7b236b37
143761b882d7856
151822aa9b95dea
hexb6152a5a0104

200202021110020 has 96 divisors (see below), whose sum is σ = 447645467243520. Its totient is φ = 74948577822720.

The previous prime is 200202021110009. The next prime is 200202021110033. The reversal of 200202021110020 is 20011120202002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955426821 + ... + 955636339.

It is an arithmetic number, because the mean of its divisors is an integer number (4662973617120).

Almost surely, 2200202021110020 is an apocalyptic number.

200202021110020 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 200202021110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223822733621760).

200202021110020 is an abundant number, since it is smaller than the sum of its proper divisors (247443446133500).

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

200202021110020 is a wasteful number, since it uses less digits than its factorization.

200202021110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225253 (or 225251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200202021110020 its reverse (20011120202002), we get a palindrome (220213141312022).

The spelling of 200202021110020 in words is "two hundred trillion, two hundred two billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 724 905 1810 3077 3620 6154 12308 15385 15527 30770 31054 61540 62108 77635 155270 209519 263959 310540 419038 527918 838076 1047595 1055836 1319795 2095190 2639590 2810387 3561823 4190380 5279180 5620774 7123646 11241548 14051935 14247292 17809115 28103870 35618230 37922939 47776579 56207740 71236460 75845878 95553158 151691756 189614695 191106316 238882895 379229390 477765790 644689963 758458780 955531580 1289379926 2578759852 3223449815 3253201513 6446899630 6506403026 12893799260 13012806052 16266007565 32532015130 55304425721 65064030260 110608851442 221217702884 276522128605 553044257210 588829473853 1106088514420 1177658947706 2355317895412 2944147369265 5888294738530 10010101055501 11776589477060 20020202111002 40040404222004 50050505277505 100101010555010 200202021110020