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2211103221100 = 2252531016196673
BaseRepresentation
bin100000001011010000000…
…001011010010101101100
321211101020120210121102121
4200023100001122111230
5242211314411033400
64411433343402324
7315514125164044
oct40132001322554
97741216717377
102211103221100
117827a6141374
122b8639bb33a4
13130676cab857
1479037430724
153c7b10d021a
hex202d005a56c

2211103221100 has 144 divisors (see below), whose sum is σ = 4945743139680. Its totient is φ = 857645568000.

The previous prime is 2211103221091. The next prime is 2211103221161. The reversal of 2211103221100 is 11223011122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331347364 + ... + 331354036.

It is an arithmetic number, because the mean of its divisors is an integer number (34345438470).

Almost surely, 22211103221100 is an apocalyptic number.

2211103221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211103221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472871569840).

2211103221100 is an abundant number, since it is smaller than the sum of its proper divisors (2734639918580).

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

2211103221100 is a wasteful number, since it uses less digits than its factorization.

2211103221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7453 counting only the distinct ones).

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

Adding to 2211103221100 its reverse (11223011122), we get a palindrome (2222326232222).

The spelling of 2211103221100 in words is "two trillion, two hundred eleven billion, one hundred three million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 101 106 202 212 265 404 505 530 619 1010 1060 1238 1325 2020 2476 2525 2650 3095 5050 5300 5353 6190 6673 10100 10706 12380 13346 15475 21412 26692 26765 30950 32807 33365 53530 61900 62519 65614 66730 107060 125038 131228 133460 133825 164035 166825 250076 267650 312595 328070 333650 353669 535300 625190 656140 667300 673973 707338 820175 1250380 1347946 1414676 1562975 1640350 1768345 2695892 3125950 3280700 3313507 3369865 3536690 4130587 6251900 6627014 6739730 7073380 8261174 8841725 13254028 13479460 16522348 16567535 16849325 17683450 20652935 33135070 33698650 35366900 35720569 41305870 66270140 67397300 71441138 82611740 82837675 103264675 142882276 165675350 178602845 206529350 218921111 331350700 357205690 413058700 417189287 437842222 714411380 834378574 875684444 893014225 1094605555 1668757148 1786028450 2085946435 2189211110 3572056900 4171892870 4378422220 5473027775 8343785740 10429732175 10946055550 20859464350 21892111100 22111032211 41718928700 44222064422 88444128844 110555161055 221110322110 442220644220 552775805275 1105551610550 2211103221100