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1023031020 = 223511101103149
BaseRepresentation
bin111100111110100…
…011011011101100
32122022000100201210
4330332203123230
54043343443040
6245303034420
734231422504
oct7476433354
92568010653
101023031020
11485524390
1224673ba10
13133c420cb
1499c24a04
155ec30480
hex3cfa36ec

1023031020 has 192 divisors, whose sum is σ = 3207859200. Its totient is φ = 241536000.

The previous prime is 1023031013. The next prime is 1023031021. The reversal of 1023031020 is 201303201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1023030987 and 1023031005.

It is not an unprimeable number, because it can be changed into a prime (1023031021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6865906 + ... + 6866054.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 21023031020 is an apocalyptic number.

1023031020 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 1023031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

1023031020 is an abundant number, since it is smaller than the sum of its proper divisors (2184828180).

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

1023031020 is a wasteful number, since it uses less digits than its factorization.

1023031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1023031020 is about 31984.8561041003. The cubic root of 1023031020 is about 1007.6188129414.

Adding to 1023031020 its reverse (201303201), we get a palindrome (1224334221).

The spelling of 1023031020 in words is "one billion, twenty-three million, thirty-one thousand, twenty".