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10221220202020 = 225101108712493727
BaseRepresentation
bin1001010010111101000000…
…1100110000011000100100
31100012010202102001220001221
42110233100030300120210
52314431024332431040
633423321433430124
72103313236133432
oct224572014603044
940163672056057
1010221220202020
113290882379063
121190b35b6b344
13591b1a89ab49
142749d15a3d52
1512ad2630e74a
hex94bd0330624

10221220202020 has 96 divisors (see below), whose sum is σ = 21720222720000. Its totient is φ = 4039961702400.

The previous prime is 10221220201903. The next prime is 10221220202033. The reversal of 10221220202020 is 2020202212201.

It is a super-2 number, since 2×102212202020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221220201985 and 10221220202003.

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, 2742477397 + ... + 2742481123.

It is an arithmetic number, because the mean of its divisors is an integer number (226252320000).

Almost surely, 210221220202020 is an apocalyptic number.

10221220202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221220202020 is an abundant number, since it is smaller than the sum of its proper divisors (11499002517980).

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

10221220202020 is a wasteful number, since it uses less digits than its factorization.

10221220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6171 counting only the distinct ones).

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

Adding to 10221220202020 its reverse (2020202212201), we get a palindrome (12241422414221).

The spelling of 10221220202020 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1087 1249 2020 2174 2498 3727 4348 4996 5435 6245 7454 10870 12490 14908 18635 21740 24980 37270 74540 109787 126149 219574 252298 376427 439148 504596 548935 630745 752854 1097870 1261490 1357663 1505708 1882135 2195740 2522980 2715326 3764270 4051249 4655023 5430652 6788315 7528540 8102498 9310046 13576630 16204996 18620092 20256245 23275115 27153260 40512490 46550230 81024980 93100460 137123963 274247926 409176149 470157323 548495852 685619815 818352298 940314646 1371239630 1636704596 1880629292 2045880745 2350786615 2742479260 4091761490 4701573230 5060010001 8183522980 9403146460 10120020002 20240040004 25300050005 50600100010 101200200020 511061010101 1022122020202 2044244040404 2555305050505 5110610101010 10221220202020