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1042313000 = 23533133623
BaseRepresentation
bin111110001000000…
…110111100101000
32200122021222122012
4332020012330220
54113313004000
6251232215052
734554341261
oct7610067450
92618258565
101042313000
114953a4203
1225109a488
13137c33771
149c603968
156178d735
hex3e206f28

1042313000 has 64 divisors (see below), whose sum is σ = 2517765120. Its totient is φ = 403464000.

The previous prime is 1042312987. The next prime is 1042313021. The reversal of 1042313000 is 3132401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14189 + ... + 47811.

It is an arithmetic number, because the mean of its divisors is an integer number (39340080).

Almost surely, 21042313000 is an apocalyptic number.

1042313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258882560).

1042313000 is an abundant number, since it is smaller than the sum of its proper divisors (1475452120).

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

1042313000 is a wasteful number, since it uses less digits than its factorization.

1042313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33675 (or 33661 counting only the distinct ones).

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

The square root of 1042313000 is about 32284.8726186120. The cubic root of 1042313000 is about 1013.9099495080.

Adding to 1042313000 its reverse (3132401), we get a palindrome (1045445401).

The spelling of 1042313000 in words is "one billion, forty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 33623 67246 134492 168115 268984 336230 672460 840575 1042313 1344920 1681150 2084626 3362300 4169252 4202875 5211565 6724600 8338504 8405750 10423130 16811500 20846260 26057825 33623000 41692520 52115650 104231300 130289125 208462600 260578250 521156500 1042313000