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1020131224 = 23738347563
BaseRepresentation
bin111100110011011…
…111011110011000
32122002120000221221
4330303133132120
54042123144344
6245120541424
734164654340
oct7463373630
92562500857
101020131224
11483923762
12245781874
13133468258
14996abd20
155e85b184
hex3ccdf798

1020131224 has 32 divisors (see below), whose sum is σ = 2191749120. Its totient is φ = 436048416.

The previous prime is 1020131051. The next prime is 1020131251. The reversal of 1020131224 is 4221310201.

It is a junction number, because it is equal to n+sod(n) for n = 1020131198 and 1020131207.

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 7 ways as a sum of consecutive naturals, for example, 2334 + ... + 45229.

It is an arithmetic number, because the mean of its divisors is an integer number (68492160).

Almost surely, 21020131224 is an apocalyptic number.

1020131224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020131224 is an abundant number, since it is smaller than the sum of its proper divisors (1171617896).

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

1020131224 is a wasteful number, since it uses less digits than its factorization.

1020131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47959 (or 47955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1020131224 is about 31939.4931706813. The cubic root of 1020131224 is about 1006.6658753752.

Adding to 1020131224 its reverse (4221310201), we get a palindrome (5241441425).

The spelling of 1020131224 in words is "one billion, twenty million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 383 766 1532 2681 3064 5362 10724 21448 47563 95126 190252 332941 380504 665882 1331764 2663528 18216629 36433258 72866516 127516403 145733032 255032806 510065612 1020131224