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1002212112220 = 2251117215763009
BaseRepresentation
bin11101001010110000111…
…11110011011101011100
310112210212212220100222021
432211120133303131130
5112410012300042340
62044224311425524
7132256515252544
oct16453037633534
93483785810867
101002212112220
11357043678610
1214229a9852a4
137367b67b297
1436716158324
151b10aa76e4a
hexe9587f375c

1002212112220 has 72 divisors (see below), whose sum is σ = 2438979011280. Its totient is φ = 343003054080.

The previous prime is 1002212112217. The next prime is 1002212112221. The reversal of 1002212112220 is 222112122001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002212112194 and 1002212112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002212112221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7817925 + ... + 7945084.

It is an arithmetic number, because the mean of its divisors is an integer number (33874708490).

Almost surely, 21002212112220 is an apocalyptic number.

1002212112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212112220 is an abundant number, since it is smaller than the sum of its proper divisors (1436766899060).

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

1002212112220 is a wasteful number, since it uses less digits than its factorization.

1002212112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15763063 (or 15763044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1002212112220 its reverse (222112122001), we get a palindrome (1224324234221).

The spelling of 1002212112220 in words is "one trillion, two billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 12716 15895 31790 63580 15763009 31526018 63052036 78815045 157630090 173393099 267971153 315260180 346786198 535942306 693572396 866965495 1071884612 1339855765 1733930990 2679711530 2947682683 3467861980 4555509601 5359423060 5895365366 9111019202 11790730732 14738413415 18222038404 22777548005 29476826830 45555096010 50110605611 58953653660 91110192020 100221211222 200442422444 250553028055 501106056110 1002212112220