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1031242320 = 2433529101163
BaseRepresentation
bin111101011101111…
…000001001010000
32122212110112112000
4331131320021100
54102444223240
6250155034000
734361262243
oct7535701120
92585415460
101031242320
1148a122689
1224943b900
13135858774
149ad6125a
1560803430
hex3d778250

1031242320 has 320 divisors, whose sum is σ = 3733689600. Its totient is φ = 261273600.

The previous prime is 1031242319. The next prime is 1031242327. The reversal of 1031242320 is 232421301.

1031242320 is a `hidden beast` number, since 103 + 1 + 242 + 320 = 666.

1031242320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1031242293 and 1031242302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031242327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6326559 + ... + 6326721.

It is an arithmetic number, because the mean of its divisors is an integer number (11667780).

Almost surely, 21031242320 is an apocalyptic number.

1031242320 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 1031242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866844800).

1031242320 is an abundant number, since it is smaller than the sum of its proper divisors (2702447280).

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

1031242320 is a wasteful number, since it uses less digits than its factorization.

1031242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1031242320 is about 32112.9618690024. The cubic root of 1031242320 is about 1010.3074971313.

Adding to 1031242320 its reverse (232421301), we get a palindrome (1263663621).

The spelling of 1031242320 in words is "one billion, thirty-one million, two hundred forty-two thousand, three hundred twenty".