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11102212210012 = 22721114833472319
BaseRepresentation
bin1010000110001110111101…
…1010100011110101011100
31110022100202020221221012021
42201203233122203311130
52423344312311210022
635340141425545524
72224052111503600
oct241435732436534
943270666857167
1011102212210012
1135a04703a4150
1212b38244a52a4
13626c1b34b8b1
142a54c8331500
15143bd9c237c7
hexa18ef6a3d5c

11102212210012 has 72 divisors (see below), whose sum is σ = 24672194749440. Its totient is φ = 4322619231840.

The previous prime is 11102212209989. The next prime is 11102212210013. The reversal of 11102212210012 is 21001221220111.

It is a super-2 number, since 2×111022122100122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102212210013) 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, 1461189 + ... + 4933507.

It is an arithmetic number, because the mean of its divisors is an integer number (342669371520).

Almost surely, 211102212210012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102212210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336097374720).

11102212210012 is an abundant number, since it is smaller than the sum of its proper divisors (13569982539428).

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

11102212210012 is a wasteful number, since it uses less digits than its factorization.

11102212210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473831 (or 3473822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11102212210012 its reverse (21001221220111), we get a palindrome (32103433430123).

It can be divided in two parts, 1110221 and 2210012, that added together give a palindrome (3320233).

The spelling of 11102212210012 in words is "eleven trillion, one hundred two billion, two hundred twelve million, two hundred ten thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1483 2156 2966 5932 10381 16313 20762 32626 41524 65252 72667 114191 145334 228382 290668 456764 799337 1598674 3197348 3472319 6944638 13889276 24306233 38195509 48612466 76391018 97224932 152782036 170143631 267368563 340287262 534737126 680574524 1069474252 1871579941 3743159882 5149449077 7486319764 10298898154 20597796308 36046143539 56643939847 72092287078 113287879694 144184574156 226575759388 252323004773 396507578929 504646009546 793015157858 1009292019092 1586030315716 2775553052503 5551106105006 11102212210012