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2012523144 = 23383855131
BaseRepresentation
bin111011111110100…
…1010101010001000
312012020220202202020
41313331022222020
513110201220034
6531411204440
7100605110262
oct16775125210
95166822666
102012523144
11943020475
12481ba6720
13260c404c8
141513d8b32
15bba38249
hex77f4aa88

2012523144 has 16 divisors (see below), whose sum is σ = 5031307920. Its totient is φ = 670841040.

The previous prime is 2012523143. The next prime is 2012523151. The reversal of 2012523144 is 4413252102.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 83855131 = 2012523144 / (2 + 0 + 1 + 2 + 5 + 2 + 3 + 1 + 4 + 4).

It is not an unprimeable number, because it can be changed into a prime (2012523143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41927542 + ... + 41927589.

It is an arithmetic number, because the mean of its divisors is an integer number (314456745).

Almost surely, 22012523144 is an apocalyptic number.

2012523144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012523144 is an abundant number, since it is smaller than the sum of its proper divisors (3018784776).

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

2012523144 is a wasteful number, since it uses less digits than its factorization.

2012523144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83855140 (or 83855136 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2012523144 is about 44861.1540645133. The cubic root of 2012523144 is about 1262.5452756890.

Adding to 2012523144 its reverse (4413252102), we get a palindrome (6425775246).

The spelling of 2012523144 in words is "two billion, twelve million, five hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 83855131 167710262 251565393 335420524 503130786 670841048 1006261572 2012523144