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11021312001220 = 22517261531239461
BaseRepresentation
bin1010000001100001100101…
…1000110000010011000100
31110000121221011221111212221
42200120121120300103010
52421033121333014340
635235042033422124
72215156246203553
oct240303130602304
943017834844787
1011021312001220
11356a126332964
1212a000710a944
1361c3c7879371
142a1611bc3d9a
15141a526d644a
hexa06196304c4

11021312001220 has 48 divisors (see below), whose sum is σ = 24507168195888. Its totient is φ = 4149037813760.

The previous prime is 11021312001163. The next prime is 11021312001221. The reversal of 11021312001220 is 2210021312011.

It can be written as a sum of positive squares in 8 ways, for example, as 2042887055616 + 8978424945604 = 1429296^2 + 2996402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11021312001194 and 11021312001203.

It is not an unprimeable number, because it can be changed into a prime (11021312001221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8272290 + ... + 9511750.

It is an arithmetic number, because the mean of its divisors is an integer number (510566004081).

Almost surely, 211021312001220 is an apocalyptic number.

11021312001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021312001220 is an abundant number, since it is smaller than the sum of its proper divisors (13485856194668).

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

11021312001220 is a wasteful number, since it uses less digits than its factorization.

11021312001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265640 (or 1265638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11021312001220 its reverse (2210021312011), we get a palindrome (13231333313231).

The spelling of 11021312001220 in words is "eleven trillion, twenty-one billion, three hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 26153 52306 104612 130765 261530 444601 523060 889202 1239461 1778404 2223005 2478922 4446010 4957844 6197305 8892020 12394610 21070837 24789220 42141674 84283348 105354185 210708370 421416740 32415623533 64831247066 129662494132 162078117665 324156235330 551065600061 648312470660 1102131200122 2204262400244 2755328000305 5510656000610 11021312001220