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11100104424 = 23321014193643
BaseRepresentation
bin10100101011001111…
…00010011011101000
31001122120210201200200
422111213202123220
5140213111320144
65033241432200
7542033221323
oct122547423350
931576721620
1011100104424
1147867a0822
12219949b660
13107b8a6836
147742cb7ba
1544e764c69
hex2959e26e8

11100104424 has 96 divisors (see below), whose sum is σ = 30441247200. Its totient is φ = 3653654400.

The previous prime is 11100104357. The next prime is 11100104447. The reversal of 11100104424 is 42440100111.

11100104424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11100104397 and 11100104406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3045147 + ... + 3048789.

It is an arithmetic number, because the mean of its divisors is an integer number (317096325).

Almost surely, 211100104424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220623600).

11100104424 is an abundant number, since it is smaller than the sum of its proper divisors (19341142776).

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

11100104424 is a wasteful number, since it uses less digits than its factorization.

11100104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11100104424 its reverse (42440100111), we get a palindrome (53540204535).

The spelling of 11100104424 in words is "eleven billion, one hundred million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 419 606 808 838 909 1212 1257 1676 1818 2424 2514 3352 3636 3643 3771 5028 7272 7286 7542 10056 10929 14572 15084 21858 29144 30168 32787 42319 43716 65574 84638 87432 126957 131148 169276 253914 262296 338552 367943 380871 507828 735886 761742 1015656 1103829 1471772 1523484 1526417 2207658 2943544 3046968 3052834 3311487 4415316 4579251 6105668 6622974 8830632 9158502 12211336 13245948 13737753 18317004 26491896 27475506 36634008 54951012 109902024 154168117 308336234 462504351 616672468 925008702 1233344936 1387513053 1850017404 2775026106 3700034808 5550052212 11100104424