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10022201211220 = 22511263685725261
BaseRepresentation
bin1001000111010111100110…
…1111100011100101010100
31022111010001102201122012121
42101311321233203211110
52303200432002224340
633152045150025324
72053036326463522
oct221657157434524
938433042648177
1010022201211220
11321443433a670
12115a452aa8244
13579121899bb3
142691118c9312
15125a7906994a
hex91d79be3954

10022201211220 has 96 divisors (see below), whose sum is σ = 23051525688576. Its totient is φ = 3629906457600.

The previous prime is 10022201211203. The next prime is 10022201211229. The reversal of 10022201211220 is 2211210222001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10022201211194 and 10022201211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022201211229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396733390 + ... + 396758650.

It is an arithmetic number, because the mean of its divisors is an integer number (240120059256).

Almost surely, 210022201211220 is an apocalyptic number.

10022201211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022201211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525762844288).

10022201211220 is an abundant number, since it is smaller than the sum of its proper divisors (13029324477356).

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

10022201211220 is a wasteful number, since it uses less digits than its factorization.

10022201211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32401 (or 32399 counting only the distinct ones).

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

Adding to 10022201211220 its reverse (2211210222001), we get a palindrome (12233411433221).

The spelling of 10022201211220 in words is "ten trillion, twenty-two billion, two hundred one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 5260 5786 6857 11572 13714 14465 25261 27428 28930 34285 50522 57860 68570 75427 101044 126305 137140 150854 252610 277871 301708 377135 505220 555742 754270 1111484 1389355 1508540 1803391 2778710 3606782 5557420 6643643 7213564 9016955 13287286 18033910 19837301 26574572 33218215 36067820 39674602 66436430 73080073 79349204 99186505 132872860 146160146 173214677 198373010 292320292 346429354 365400365 396746020 692858708 730800730 866073385 1461601460 1732146770 1905361447 3464293540 3810722894 7621445788 9526807235 19053614470 38107228940 45555460051 91110920102 182221840204 227777300255 455554600510 501110060561 911109201020 1002220121122 2004440242244 2505550302805 5011100605610 10022201211220