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20111211221100 = 22352215873105451
BaseRepresentation
bin1001001001010100000011…
…00110011101000001101100
32122012121112212222220000120
410210222001212131001230
510114000230033033400
6110434543552324540
74143662363554116
oct444520146350154
978177485886016
1020111211221100
11645413148851a
12230982bb43750
13b2b62c7036cc
144d75602523b6
1524d213483ca0
hex124a8199d06c

20111211221100 has 72 divisors (see below), whose sum is σ = 58191152069568. Its totient is φ = 5362739496000.

The previous prime is 20111211221081. The next prime is 20111211221113. The reversal of 20111211221100 is 112211211102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20111211221100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4923375 + ... + 8028825.

Almost surely, 220111211221100 is an apocalyptic number.

20111211221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111211221100 is an abundant number, since it is smaller than the sum of its proper divisors (38079940848468).

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

20111211221100 is a wasteful number, since it uses less digits than its factorization.

20111211221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127055 (or 3127048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20111211221100 its reverse (112211211102), we get a palindrome (20223422432202).

The spelling of 20111211221100 in words is "twenty trillion, one hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21587 43174 64761 86348 107935 129522 215870 259044 323805 431740 539675 647610 1079350 1295220 1619025 2158700 3105451 3238050 6210902 6476100 9316353 12421804 15527255 18632706 31054510 37265412 46581765 62109020 77636275 93163530 155272550 186327060 232908825 310545100 465817650 931635300 67037370737 134074741474 201112112211 268149482948 335186853685 402224224422 670373707370 804448448844 1005560561055 1340747414740 1675934268425 2011121122110 3351868536850 4022242244220 5027802805275 6703737073700 10055605610550 20111211221100