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3011114112 = 27366111863
BaseRepresentation
bin1011001101111001…
…1111010010000000
321202211221110000220
42303132133102000
522131321122422
61214442343040
7134422022226
oct26336372200
97684843026
103011114112
111305771666
127004baa80
1338caa6236
14207c9ab16
1512953be5c
hexb379f480

3011114112 has 64 divisors (see below), whose sum is σ = 8011047360. Its totient is φ = 1002101760.

The previous prime is 3011114107. The next prime is 3011114123. The reversal of 3011114112 is 2114111103.

3011114112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3011114091 and 3011114100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247893 + ... + 259755.

It is an arithmetic number, because the mean of its divisors is an integer number (125172615).

Almost surely, 23011114112 is an apocalyptic number.

3011114112 is a gapful number since it is divisible by the number (32) 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 3011114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005523680).

3011114112 is an abundant number, since it is smaller than the sum of its proper divisors (4999933248).

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

3011114112 is a wasteful number, since it uses less digits than its factorization.

3011114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 3011114112 is about 54873.6194541603. The cubic root of 3011114112 is about 1444.0284113367.

Adding to 3011114112 its reverse (2114111103), we get a palindrome (5125225215).

The spelling of 3011114112 in words is "three billion, eleven million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 661 1322 1983 2644 3966 5288 7932 10576 11863 15864 21152 23726 31728 35589 42304 47452 63456 71178 84608 94904 126912 142356 189808 253824 284712 379616 569424 759232 1138848 1518464 2277696 4555392 7841443 15682886 23524329 31365772 47048658 62731544 94097316 125463088 188194632 250926176 376389264 501852352 752778528 1003704704 1505557056 3011114112