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10222000102020 = 22357226313220041
BaseRepresentation
bin1001010010111111111010…
…1011110101101010000100
31100012012202202120220202010
42110233332223311222010
52314434124011231040
633423531053414220
72103341456153400
oct224577653655204
940165682526663
1010222000102020
113291142630513
12119111319a370
13591c13333c35
14274a66dba100
1512ad6ea15e80
hex94bfeaf5a84

10222000102020 has 144 divisors (see below), whose sum is σ = 33421112258688. Its totient is φ = 2327573122560.

The previous prime is 10222000102001. The next prime is 10222000102037. The reversal of 10222000102020 is 2020100022201.

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 = 10222000101987 and 10222000102005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5836801 + ... + 7383240.

It is an arithmetic number, because the mean of its divisors is an integer number (232091057352).

Almost surely, 210222000102020 is an apocalyptic number.

10222000102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222000102020 is an abundant number, since it is smaller than the sum of its proper divisors (23199112156668).

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

10222000102020 is a wasteful number, since it uses less digits than its factorization.

10222000102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220330 (or 13220321 counting only the distinct ones).

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

Adding to 10222000102020 its reverse (2020100022201), we get a palindrome (12242100124221).

The spelling of 10222000102020 in words is "ten trillion, two hundred twenty-two billion, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 263 294 420 490 526 588 735 789 980 1052 1315 1470 1578 1841 2630 2940 3156 3682 3945 5260 5523 7364 7890 9205 11046 12887 15780 18410 22092 25774 27615 36820 38661 51548 55230 64435 77322 110460 128870 154644 193305 257740 386610 773220 13220041 26440082 39660123 52880164 66100205 79320246 92540287 132200410 158640492 185080574 198300615 264400820 277620861 370161148 396601230 462701435 555241722 647782009 793202460 925402870 1110483444 1295564018 1388104305 1850805740 1943346027 2591128036 2776208610 3238910045 3476870783 3886692054 5552417220 6477820090 6953741566 7773384108 9716730135 10430612349 12955640180 13907483132 17384353915 19433460270 20861224698 24338095481 34768707830 38866920540 41722449396 48676190962 52153061745 69537415660 73014286443 97352381924 104306123490 121690477405 146028572886 170366668367 208612246980 243380954810 292057145772 340733336734 365071432215 486761909620 511100005101 681466673468 730142864430 851833341835 1022200010202 1460285728860 1703666683670 2044400020404 2555500025505 3407333367340 5111000051010 10222000102020