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1031142420 = 2233571124799
BaseRepresentation
bin111101011101011…
…111110000010100
32122212021110111000
4331131133300110
54102433024140
6250152543300
734360365060
oct7535376024
92585243430
101031142420
1148a064620
122493b1b30
13135822159
149ad36aa0
15607d3a30
hex3d75fc14

1031142420 has 192 divisors, whose sum is σ = 3999744000. Its totient is φ = 214254720.

The previous prime is 1031142379. The next prime is 1031142433. The reversal of 1031142420 is 242411301.

1031142420 is a `hidden beast` number, since 103 + 1 + 142 + 420 = 666.

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 = 1031142393 and 1031142402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29181 + ... + 53979.

It is an arithmetic number, because the mean of its divisors is an integer number (20832000).

Almost surely, 21031142420 is an apocalyptic number.

1031142420 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 1031142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872000).

1031142420 is an abundant number, since it is smaller than the sum of its proper divisors (2968601580).

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

1031142420 is a wasteful number, since it uses less digits than its factorization.

1031142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24835 (or 24827 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1031142420 is about 32111.4063846478. The cubic root of 1031142420 is about 1010.2748720872.

Adding to 1031142420 its reverse (242411301), we get a palindrome (1273553721).

The spelling of 1031142420 in words is "one billion, thirty-one million, one hundred forty-two thousand, four hundred twenty".