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1002023312 = 24292159533
BaseRepresentation
bin111011101110011…
…010100110010000
32120211111001120112
4323232122212100
54023004221222
6243232500452
733555025523
oct7356324620
92524431515
101002023312
11474685a44
1223b6aa728
1312c798104
1497116bba
155ce80be2
hex3bb9a990

1002023312 has 20 divisors (see below), whose sum is σ = 2008366620. Its totient is φ = 483735168.

The previous prime is 1002023279. The next prime is 1002023327. The reversal of 1002023312 is 2133202001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 709476496 + 292546816 = 26636^2 + 17104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1079303 + ... + 1080230.

It is an arithmetic number, because the mean of its divisors is an integer number (100418331).

Almost surely, 21002023312 is an apocalyptic number.

It is an amenable number.

1002023312 is an abundant number, since it is smaller than the sum of its proper divisors (1006343308).

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

1002023312 is a wasteful number, since it uses less digits than its factorization.

1002023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159570 (or 2159564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1002023312 is about 31654.7518075881. The cubic root of 1002023312 is about 1000.6739829782.

Adding to 1002023312 its reverse (2133202001), we get a palindrome (3135225313).

Subtracting 1002023312 from its reverse (2133202001), we obtain a square (1131178689 = 336332).

The spelling of 1002023312 in words is "one billion, two million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 2159533 4319066 8638132 17276264 34552528 62626457 125252914 250505828 501011656 1002023312