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11034323104 = 257477913267
BaseRepresentation
bin10100100011011001…
…00110100010100000
31001111000000200200111
422101230212202200
5140044241314404
65022531501104
7540304125130
oct122154464240
931430020614
1011034323104
1147526512a2
12217b457794
13106b08428c
14769686ac0
15448abe104
hex291b268a0

11034323104 has 96 divisors (see below), whose sum is σ = 25678356480. Its totient is φ = 4569447168.

The previous prime is 11034323099. The next prime is 11034323107. The reversal of 11034323104 is 40132343011.

It is not an unprimeable number, because it can be changed into a prime (11034323107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 825079 + ... + 838345.

It is an arithmetic number, because the mean of its divisors is an integer number (267482880).

Almost surely, 211034323104 is an apocalyptic number.

11034323104 is a gapful number since it is divisible by the number (14) 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 11034323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12839178240).

11034323104 is an abundant number, since it is smaller than the sum of its proper divisors (14644033376).

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

11034323104 is a wasteful number, since it uses less digits than its factorization.

11034323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13410 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11034323104 its reverse (40132343011), we get a palindrome (51166666115).

The spelling of 11034323104 in words is "eleven billion, thirty-four million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 79 94 112 158 188 224 316 329 376 553 632 658 752 1106 1264 1316 1504 2212 2528 2632 3713 4424 5264 7426 8848 10528 13267 14852 17696 25991 26534 29704 51982 53068 59408 92869 103964 106136 118816 185738 207928 212272 371476 415856 424544 623549 742952 831712 1048093 1247098 1485904 2096186 2494196 2971808 4192372 4364843 4988392 7336651 8384744 8729686 9976784 14673302 16769488 17459372 19953568 29346604 33538976 34918744 49260371 58693208 69837488 98520742 117386416 139674976 197041484 234772832 344822597 394082968 689645194 788165936 1379290388 1576331872 2758580776 5517161552 11034323104