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11041411100 = 2252199116379
BaseRepresentation
bin10100100100001111…
…01001000000011100
31001111111100210120212
422102013221000130
5140103100123400
65023343431552
7540421305626
oct122207510034
931444323525
1011041411100
114756652645
1221818b55b8
13106c696565
1476a5adc16
1544951e335
hex2921e901c

11041411100 has 72 divisors (see below), whose sum is σ = 25252550400. Its totient is φ = 4178865600.

The previous prime is 11041411097. The next prime is 11041411133. The reversal of 11041411100 is 111414011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727711 + ... + 1734089.

Almost surely, 211041411100 is an apocalyptic number.

11041411100 is a gapful number since it is divisible by the number (10) 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 11041411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626275200).

11041411100 is an abundant number, since it is smaller than the sum of its proper divisors (14211139300).

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

11041411100 is a wasteful number, since it uses less digits than its factorization.

11041411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7316 counting only the distinct ones).

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

Adding to 11041411100 its reverse (111414011), we get a palindrome (11152825111).

The spelling of 11041411100 in words is "eleven billion, forty-one million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 911 950 1822 1900 3644 4555 6379 9110 12758 17309 18220 22775 25516 31895 34618 45550 63790 69236 86545 91100 121201 127580 159475 173090 242402 318950 346180 432725 484804 606005 637900 865450 1212010 1730900 2424020 3030025 5811269 6060050 11622538 12120100 23245076 29056345 58112690 110414111 116225380 145281725 220828222 290563450 441656444 552070555 581126900 1104141110 2208282220 2760352775 5520705550 11041411100