Search a number
-
+
1011301144 = 237191496379
BaseRepresentation
bin111100010001110…
…011101100011000
32121110221102100221
4330101303230120
54032343114034
6244203405424
734026626560
oct7421635430
92543842327
101011301144
11479942577
12242823874
13131696059
149844dda0
155dbb4bb4
hex3c473b18

1011301144 has 64 divisors (see below), whose sum is σ = 2296800000. Its totient is φ = 407783808.

The previous prime is 1011301129. The next prime is 1011301153. The reversal of 1011301144 is 4411031101.

1011301144 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155347 + ... + 161725.

It is an arithmetic number, because the mean of its divisors is an integer number (35887500).

Almost surely, 21011301144 is an apocalyptic number.

1011301144 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 1011301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148400000).

1011301144 is an abundant number, since it is smaller than the sum of its proper divisors (1285498856).

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

1011301144 is a wasteful number, since it uses less digits than its factorization.

1011301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1011301144 is about 31800.9613691159. The cubic root of 1011301144 is about 1003.7529457784.

Adding to 1011301144 its reverse (4411031101), we get a palindrome (5422332245).

The spelling of 1011301144 in words is "one billion, eleven million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 149 152 266 298 532 596 1043 1064 1192 2086 2831 4172 5662 6379 8344 11324 12758 19817 22648 25516 39634 44653 51032 79268 89306 121201 158536 178612 242402 357224 484804 848407 950471 969608 1696814 1900942 3393628 3801884 6653297 6787256 7603768 13306594 18058949 26613188 36117898 53226376 72235796 126412643 144471592 252825286 505650572 1011301144