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11121004480 = 265314092741
BaseRepresentation
bin10100101101101110…
…10000111111000000
31001201001010120011211
422112313100333000
5140233434120410
65035305415504
7542405656405
oct122667207700
931631116154
1011121004480
1147975762a3
1221a449a594
131083013831
14776dac2ac
154514e268a
hex296dd0fc0

11121004480 has 112 divisors (see below), whose sum is σ = 27412980480. Its totient is φ = 4292812800.

The previous prime is 11121004463. The next prime is 11121004481. The reversal of 11121004480 is 8440012111.

11121004480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121004481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4055910 + ... + 4058650.

Almost surely, 211121004480 is an apocalyptic number.

11121004480 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 11121004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706490240).

11121004480 is an abundant number, since it is smaller than the sum of its proper divisors (16291976000).

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

11121004480 is a wasteful number, since it uses less digits than its factorization.

11121004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 11121004480 its reverse (8440012111), we get a palindrome (19561016591).

The spelling of 11121004480 in words is "eleven billion, one hundred twenty-one million, four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 409 496 620 818 992 1240 1636 1984 2045 2480 2741 3272 4090 4960 5482 6544 8180 9920 10964 12679 13088 13705 16360 21928 25358 26176 27410 32720 43856 50716 54820 63395 65440 84971 87712 101432 109640 126790 130880 169942 175424 202864 219280 253580 339884 405728 424855 438560 507160 679768 811456 849710 877120 1014320 1121069 1359536 1699420 2028640 2242138 2719072 3398840 4057280 4484276 5438144 5605345 6797680 8968552 11210690 13595360 17937104 22421380 27190720 34753139 35874208 44842760 69506278 71748416 89685520 139012556 173765695 179371040 278025112 347531390 358742080 556050224 695062780 1112100448 1390125560 2224200896 2780251120 5560502240 11121004480