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3011041116 = 2232294367073
BaseRepresentation
bin1011001101111000…
…1101011101011100
321202211210201220100
42303132031131130
522131311303431
61214441021100
7134421266346
oct26336153534
97684721810
103011041116
111305721836
12700484790
1338ca7bc45
14207c7c296
151295254e6
hexb378d75c

3011041116 has 72 divisors (see below), whose sum is σ = 8056928880. Its totient is φ = 946520064.

The previous prime is 3011041109. The next prime is 3011041123. The reversal of 3011041116 is 6111401103.

It is an interprime number because it is at equal distance from previous prime (3011041109) and next prime (3011041123).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11356 + ... + 78428.

It is an arithmetic number, because the mean of its divisors is an integer number (111901790).

Almost surely, 23011041116 is an apocalyptic number.

3011041116 is a gapful number since it is divisible by the number (36) 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 3011041116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028464440).

3011041116 is an abundant number, since it is smaller than the sum of its proper divisors (5045887764).

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

3011041116 is a wasteful number, since it uses less digits than its factorization.

3011041116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67155 (or 67150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 3011041116 is about 54872.9543217786. The cubic root of 3011041116 is about 1444.0167424388.

Adding to 3011041116 its reverse (6111401103), we get a palindrome (9122442219).

The spelling of 3011041116 in words is "three billion, eleven million, forty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 774 1044 1247 1548 2494 3741 4988 7482 11223 14964 22446 44892 67073 134146 201219 268292 402438 603657 804876 1207314 1945117 2414628 2884139 3890234 5768278 5835351 7780468 8652417 11536556 11670702 17304834 17506053 23341404 25957251 34609668 35012106 51914502 70024212 83640031 103829004 167280062 250920093 334560124 501840186 752760279 1003680372 1505520558 3011041116