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11120301312 = 283127911321
BaseRepresentation
bin10100101101101001…
…00101010100000000
31001200222210211121120
422112310211110000
5140233244120222
65035242352240
7542400000351
oct122664452400
931628724546
1011120301312
114797135a6a
1221a41bb680
131082b28763
14776c67d28
1545140415c
hex296d25500

11120301312 has 72 divisors (see below), whose sum is σ = 29621975040. Its totient is φ = 3703541760.

The previous prime is 11120301299. The next prime is 11120301329. The reversal of 11120301312 is 21310302111.

It is a happy number.

It is a super-2 number, since 2×111203013122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120301291 and 11120301300.

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 7 ways as a sum of consecutive naturals, for example, 976612 + ... + 987932.

It is an arithmetic number, because the mean of its divisors is an integer number (411416320).

Almost surely, 211120301312 is an apocalyptic number.

11120301312 is a gapful number since it is divisible by the number (12) 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 11120301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810987520).

11120301312 is an abundant number, since it is smaller than the sum of its proper divisors (18501673728).

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

11120301312 is a wasteful number, since it uses less digits than its factorization.

11120301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11120301312 its reverse (21310302111), we get a palindrome (32430603423).

The spelling of 11120301312 in words is "eleven billion, one hundred twenty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1279 2558 3837 5116 7674 10232 11321 15348 20464 22642 30696 33963 40928 45284 61392 67926 81856 90568 122784 135852 163712 181136 245568 271704 327424 362272 491136 543408 724544 982272 1086816 1449088 2173632 2898176 4347264 8694528 14479559 28959118 43438677 57918236 86877354 115836472 173754708 231672944 347509416 463345888 695018832 926691776 1390037664 1853383552 2780075328 3706767104 5560150656 11120301312