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10202221200220 = 2257413358752919
BaseRepresentation
bin1001010001110110001111…
…0001010100001101011100
31100010022201100002121012121
42110131203301110031130
52314123122111401340
633410500303112324
72102041360235560
oct224354361241534
940108640077177
1010202221200220
113283812994885
1211893132a26a4
135900b06bc84a
14273b0c2096a0
1512a5b33c094a
hex94763c5435c

10202221200220 has 96 divisors (see below), whose sum is σ = 25083754859520. Its totient is φ = 3412423580160.

The previous prime is 10202221200167. The next prime is 10202221200233. The reversal of 10202221200220 is 2200212220201.

It is a junction number, because it is equal to n+sod(n) for n = 10202221200194 and 10202221200203.

It is a congruent number.

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, 192762921 + ... + 192815839.

It is an arithmetic number, because the mean of its divisors is an integer number (261289113120).

Almost surely, 210202221200220 is an apocalyptic number.

10202221200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202221200220 is an abundant number, since it is smaller than the sum of its proper divisors (14881533659300).

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

10202221200220 is a wasteful number, since it uses less digits than its factorization.

10202221200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86563 (or 86561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10202221200220 its reverse (2200212220201), we get a palindrome (12402433420421).

The spelling of 10202221200220 in words is "ten trillion, two hundred two billion, two hundred twenty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 33587 52919 67174 105838 134348 167935 211676 235109 264595 335870 370433 470218 529190 671740 740866 940436 1058380 1175545 1377067 1481732 1852165 2169679 2351090 2754134 3704330 4339358 4702180 5508268 6885335 7408660 8678716 9639469 10848395 13770670 15187753 19278938 21696790 27541340 30375506 38557876 43393580 48197345 60751012 75938765 96394690 151877530 192789380 303755060 1777390453 3554780906 7109561812 8886952265 12441733171 17773904530 24883466342 35547809060 49766932684 62208665855 72873008573 124417331710 145746017146 248834663420 291492034292 364365042865 510111060011 728730085730 1020222120022 1457460171460 2040444240044 2550555300055 5101110600110 10202221200220