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12220211011100 = 22524116318285517
BaseRepresentation
bin1011000111010011110101…
…0101100001111000011100
31121021020111111221112100112
42301310331111201320130
53100203443004323400
641553515404145152
72400611135511101
oct261647525417034
947236444845315
1012220211011100
113991620598864
121454437b381b8
136a8490027811
14303665dd2aa8
15162d208e2835
hexb1d3d561e1c

12220211011100 has 72 divisors (see below), whose sum is σ = 27331290612528. Its totient is φ = 4739605747200.

The previous prime is 12220211011061. The next prime is 12220211011117. The reversal of 12220211011100 is 111011202221.

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 23 ways as a sum of consecutive naturals, for example, 8474459 + ... + 9811058.

Almost surely, 212220211011100 is an apocalyptic number.

12220211011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220211011100 is an abundant number, since it is smaller than the sum of its proper divisors (15111079601428).

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

12220211011100 is a wasteful number, since it uses less digits than its factorization.

12220211011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18285735 (or 18285728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12220211011100 its reverse (111011202221), we get a palindrome (12331222213321).

The spelling of 12220211011100 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 163 164 205 326 410 652 815 820 1025 1630 2050 3260 4075 4100 6683 8150 13366 16300 26732 33415 66830 133660 167075 334150 668300 18285517 36571034 73142068 91427585 182855170 365710340 457137925 749706197 914275850 1499412394 1828551700 2980539271 2998824788 3748530985 5961078542 7497061970 11922157084 14902696355 14994123940 18742654925 29805392710 37485309850 59610785420 74513481775 74970619700 122202110111 149026963550 244404220222 298053927100 488808440444 611010550555 1222021101110 2444042202220 3055052752775 6110105505550 12220211011100