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2011023144 = 2332132148529
BaseRepresentation
bin111011111011101…
…1100011100101000
312012011002120010200
41313313130130220
513104310220034
6531315112200
7100556262144
oct16767343450
95164076120
102011023144
119421964a9
124815a2660
13260836830
14151128224
15bb83da99
hex77ddc728

2011023144 has 48 divisors (see below), whose sum is σ = 5865486900. Its totient is φ = 618776064.

The previous prime is 2011023107. The next prime is 2011023167. The reversal of 2011023144 is 4413201102.

It can be written as a sum of positive squares in 2 ways, for example, as 1957000644 + 54022500 = 44238^2 + 7350^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 1073329 + ... + 1075200.

Almost surely, 22011023144 is an apocalyptic number.

2011023144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011023144 is an abundant number, since it is smaller than the sum of its proper divisors (3854463756).

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

2011023144 is a wasteful number, since it uses less digits than its factorization.

2011023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148554 (or 2148547 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2011023144 is about 44844.4326979392. The cubic root of 2011023144 is about 1262.2315254890.

Adding to 2011023144 its reverse (4413201102), we get a palindrome (6424224246).

The spelling of 2011023144 in words is "two billion, eleven million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2148529 4297058 6445587 8594116 12891174 17188232 19336761 25782348 27930877 38673522 51564696 55861754 77347044 83792631 111723508 154694088 167585262 223447016 251377893 335170524 502755786 670341048 1005511572 2011023144