Search a number
-
+
20021100110209 = 11293153223171299
BaseRepresentation
bin1001000110101100001101…
…00011110110000110000001
32121212222221220001011102001
410203112012203312012001
510111011203112011314
6110325322202424001
74134322345011112
oct443260643660601
977788856034361
1020021100110209
1164199a0077150
1222b4281b02001
13b22c9b87a553
144d30526b0209
1524abdc4aa674
hex1235868f6181

20021100110209 has 64 divisors (see below), whose sum is σ = 23869956096000. Its totient is φ = 16610698540800.

The previous prime is 20021100110173. The next prime is 20021100110227. The reversal of 20021100110209 is 90201100112002.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20021100110209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20021100110279) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 116792442 + ... + 116963740.

It is an arithmetic number, because the mean of its divisors is an integer number (372968064000).

Almost surely, 220021100110209 is an apocalyptic number.

20021100110209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20021100110209 is a deficient number, since it is larger than the sum of its proper divisors (3848855985791).

20021100110209 is a wasteful number, since it uses less digits than its factorization.

20021100110209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171646.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 20021100110209 in words is "twenty trillion, twenty-one billion, one hundred million, one hundred ten thousand, two hundred nine".

Divisors: 1 11 29 31 53 223 319 341 583 899 1537 1643 2453 6467 6913 9889 11819 16907 18073 47647 71137 76043 130009 171299 200477 342751 366389 524117 1884289 2205247 3770261 4030279 4967671 5310269 9078847 10625281 38199677 54644381 58412959 99867317 116878091 153997801 263286563 281444257 420196447 1107790633 1184189987 1693975811 2024582881 2896152193 3095886827 8161883453 12185696963 13026089857 22270411691 34341509623 58712903549 62762069311 89780717983 377756605853 645841939039 690382762421 1820100010019 20021100110209