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22100012000212 = 2241612209117553
BaseRepresentation
bin1010000011001100011110…
…10111010110001111010100
32220020201222211112101001211
411001212033113112033110
510344041311033001322
6115000334431231204
74440446620345336
oct501461727261724
986221884471054
1022100012000212
11705062069a953
12258b169378504
13c44039999953
145659095b3456
15284d1316db77
hex14198f5d63d4

22100012000212 has 24 divisors (see below), whose sum is σ = 40267794774312. Its totient is φ = 10603764249600.

The previous prime is 22100012000141. The next prime is 22100012000299. The reversal of 22100012000212 is 21200021000122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 317685540496 + 21782326459716 = 563636^2 + 4667154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22100012000192 and 22100012000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104548773 + ... + 1104568780.

It is an arithmetic number, because the mean of its divisors is an integer number (1677824782263).

Almost surely, 222100012000212 is an apocalyptic number.

It is an amenable number.

22100012000212 is a deficient number, since it is larger than the sum of its proper divisors (18167782774100).

22100012000212 is a wasteful number, since it uses less digits than its factorization.

22100012000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209117659 (or 2209117657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22100012000212 its reverse (21200021000122), we get a palindrome (43300033000334).

The spelling of 22100012000212 in words is "twenty-two trillion, one hundred billion, twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 41 61 82 122 164 244 2501 5002 10004 2209117553 4418235106 8836470212 90573819673 134756170733 181147639346 269512341466 362295278692 539024682932 5525003000053 11050006000106 22100012000212