Search a number
-
+
20021121210020 = 22571930773244589
BaseRepresentation
bin1001000110101100001111…
…10100010101011010100100
32121220000000100202010220112
410203112013310111122210
510111011224012210040
6110325324234552152
74134323022240440
oct443260764253244
977800010663815
1020021121210020
116419a00a78807
1222b4288b98658
13b22ca3057448
144d3055403820
1524abde277365
hex123587d156a4

20021121210020 has 96 divisors (see below), whose sum is σ = 50581525075200. Its totient is φ = 6502863112704.

The previous prime is 20021121210017. The next prime is 20021121210053. The reversal of 20021121210020 is 2001212112002.

It is a super-3 number, since 3×200211212100203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20021121209977 and 20021121210004.

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, 81733886 + ... + 81978474.

It is an arithmetic number, because the mean of its divisors is an integer number (526890886200).

Almost surely, 220021121210020 is an apocalyptic number.

20021121210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021121210020 is an abundant number, since it is smaller than the sum of its proper divisors (30560403865180).

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

20021121210020 is a wasteful number, since it uses less digits than its factorization.

20021121210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275397 (or 275395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021121210020 its reverse (2001212112002), we get a palindrome (22022333322022).

The spelling of 20021121210020 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 30773 61546 123092 153865 215411 244589 307730 430822 489178 584687 615460 861644 978356 1077055 1169374 1222945 1712123 2154110 2338748 2445890 2923435 3424246 4092809 4308220 4647191 4891780 5846870 6848492 8185618 8560615 9294382 11693740 16371236 17121230 18588764 20464045 23235955 32530337 34242460 40928090 46471910 65060674 81856180 92943820 130121348 162651685 325303370 650606740 7526737297 15053474594 30106949188 37633686485 52687161079 75267372970 105374322158 143008008643 150534745940 210748644316 263435805395 286016017286 526871610790 572032034572 715040043215 1001056060501 1053743221580 1430080086430 2002112121002 2860160172860 4004224242004 5005280302505 10010560605010 20021121210020