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11104141300 = 22527532291307
BaseRepresentation
bin10100101011101101…
…11011111111110100
31001122212101211020121
422111312323333310
5140220130010200
65033504141324
7542112433540
oct122566737764
931585354217
1011104141300
114788aa878a
12219a907844
13107c68b115
14774a5ca20
1544ecb0e1a
hex295dbbff4

11104141300 has 144 divisors (see below), whose sum is σ = 28201944960. Its totient is φ = 3716144640.

The previous prime is 11104141297. The next prime is 11104141303. The reversal of 11104141300 is 314140111.

It is an interprime number because it is at equal distance from previous prime (11104141297) and next prime (11104141303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11104141303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8495247 + ... + 8496553.

It is an arithmetic number, because the mean of its divisors is an integer number (195846840).

Almost surely, 211104141300 is an apocalyptic number.

11104141300 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 11104141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100972480).

11104141300 is an abundant number, since it is smaller than the sum of its proper divisors (17097803660).

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

11104141300 is a wasteful number, since it uses less digits than its factorization.

11104141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1603 counting only the distinct ones).

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

Adding to 11104141300 its reverse (314140111), we get a palindrome (11418281411).

The spelling of 11104141300 in words is "eleven billion, one hundred four million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 229 265 350 371 458 530 700 742 916 1060 1145 1307 1325 1484 1603 1855 2290 2614 2650 3206 3710 4580 5228 5300 5725 6412 6535 7420 8015 9149 9275 11450 12137 13070 16030 18298 18550 22900 24274 26140 32060 32675 36596 37100 40075 45745 48548 60685 65350 69271 80150 84959 91490 121370 130700 138542 160300 169918 182980 228725 242740 277084 299303 303425 339836 346355 424795 457450 484897 598606 606850 692710 849590 914900 969794 1197212 1213700 1385420 1496515 1699180 1731775 1939588 2095121 2123975 2424485 2993030 3463550 4190242 4247950 4848970 5986060 6927100 7482575 8380484 8495900 9697940 10475605 12122425 14965150 15863059 20951210 24244850 29930300 31726118 41902420 48489700 52378025 63452236 79315295 104756050 111041413 158630590 209512100 222082826 317261180 396576475 444165652 555207065 793152950 1110414130 1586305900 2220828260 2776035325 5552070650 11104141300