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20020210100220 = 223511217162212041
BaseRepresentation
bin1001000110101010100011…
…00000101110011111111100
32121212220122212022222020010
410203111101200232133330
510111002342241201340
6110325054010423220
74134261320030601
oct443252140563774
977786585288203
1020020210100220
116419583748500
1222b4073a31b10
13b22b89371015
144d2daa3d46a8
1524ab892a3b80
hex12355182e7fc

20020210100220 has 144 divisors (see below), whose sum is σ = 65240385596064. Its totient is φ = 4567891046400.

The previous prime is 20020210100213. The next prime is 20020210100309. The reversal of 20020210100220 is 2200101202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20020210100196 and 20020210100205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80982601 + ... + 81229440.

It is an arithmetic number, because the mean of its divisors is an integer number (453058233306).

Almost surely, 220020210100220 is an apocalyptic number.

20020210100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020210100220 is an abundant number, since it is smaller than the sum of its proper divisors (45220175495844).

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

20020210100220 is a wasteful number, since it uses less digits than its factorization.

20020210100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162212092 (or 162212079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020210100220 its reverse (2200101202002), we get a palindrome (22220311302222).

The spelling of 20020210100220 in words is "twenty trillion, twenty billion, two hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 162212041 324424082 486636123 648848164 811060205 973272246 1622120410 1784332451 1946544492 2433180615 2757604697 3244240820 3568664902 4866361230 5352997353 5515209394 7137329804 8272814091 8921662255 9732722460 10705994706 11030418788 13788023485 16545628182 17843324510 19627656961 21411989412 26764986765 27576046970 30333651667 33091256364 35686649020 39255313922 41364070455 53529973530 55152093940 58882970883 60667303334 78510627844 82728140910 91000955001 98138284805 107059947060 117765941766 121334606668 151668258335 165456281820 182001910002 196276569610 235531883532 294414854415 303336516670 333670168337 364003820004 392553139220 455004775005 588829708830 606673033340 667340336674 910009550010 1001010505011 1177659417660 1334680673348 1668350841685 1820019100020 2002021010022 3336701683370 4004042020044 5005052525055 6673403366740 10010105050110 20020210100220