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1020415012 = 221815692477
BaseRepresentation
bin111100110100100…
…100110000100100
32122010002110020121
4330310210300210
54042211240022
6245131011324
734200245611
oct7464446044
92563073217
101020415012
11483aa79a1
12245899b44
13133537486
1499743508
155e8b52c7
hex3cd24c24

1020415012 has 24 divisors (see below), whose sum is σ = 1799474040. Its totient is φ = 506292480.

The previous prime is 1020415009. The next prime is 1020415013. The reversal of 1020415012 is 2105140201.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 1003242276 = 4144^2 + 31674^2 .

It is not an unprimeable number, because it can be changed into a prime (1020415013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410718 + ... + 413194.

It is an arithmetic number, because the mean of its divisors is an integer number (74978085).

Almost surely, 21020415012 is an apocalyptic number.

It is an amenable number.

1020415012 is a deficient number, since it is larger than the sum of its proper divisors (779059028).

1020415012 is a wasteful number, since it uses less digits than its factorization.

1020415012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1020415012 is about 31943.9354494715. The cubic root of 1020415012 is about 1006.7592140889.

Adding to 1020415012 its reverse (2105140201), we get a palindrome (3125555213).

The spelling of 1020415012 in words is "one billion, twenty million, four hundred fifteen thousand, twelve".

Divisors: 1 2 4 181 362 569 724 1138 2276 2477 4954 9908 102989 205978 411956 448337 896674 1409413 1793348 2818826 5637652 255103753 510207506 1020415012