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2011110222100 = 225271729941227
BaseRepresentation
bin11101010000111111100…
…000101010100100010100
321010021000201200121111111
4131100333200222210110
5230422223204101400
64135520303344404
7265204120556110
oct35207740524424
97107021617444
102011110222100
117059a8322121
122859248b2104
131178542711a5
146d4a4252740
15374a85903ba
hex1d43f82a914

2011110222100 has 108 divisors (see below), whose sum is σ = 5298197345056. Its totient is φ = 648963233280.

The previous prime is 2011110222067. The next prime is 2011110222157. The reversal of 2011110222100 is 12220111102.

It is a super-2 number, since 2×20111102221002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4768314 + ... + 5172913.

Almost surely, 22011110222100 is an apocalyptic number.

2011110222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011110222100 is an abundant number, since it is smaller than the sum of its proper divisors (3287087122956).

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

2011110222100 is a wasteful number, since it uses less digits than its factorization.

2011110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941282 (or 9941258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011110222100 its reverse (12220111102), we get a palindrome (2023330333202).

The spelling of 2011110222100 in words is "two trillion, eleven billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 289 340 350 425 476 578 595 700 850 1156 1190 1445 1700 2023 2380 2890 2975 4046 5780 5950 7225 8092 10115 11900 14450 20230 28900 40460 50575 101150 202300 9941227 19882454 39764908 49706135 69588589 99412270 139177178 169000859 198824540 248530675 278354356 338001718 347942945 497061350 676003436 695885890 845004295 994122700 1183006013 1391771780 1690008590 1739714725 2366012026 2873014603 3380017180 3479429450 4225021475 4732024052 5746029206 5915030065 6958858900 8450042950 11492058412 11830060130 14365073015 16900085900 20111102221 23660120260 28730146030 29575150325 40222204442 57460292060 59150300650 71825365075 80444408884 100555511105 118300601300 143650730150 201111022210 287301460300 402222044420 502777555525 1005555111050 2011110222100