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1030002120 = 2332571724043
BaseRepresentation
bin111101011001001…
…001010111001000
32122210010112021200
4331121021113020
54102140031440
6250112304200
734344605430
oct7531112710
92583115250
101030002120
11489455924
12248b42060
13135513114
149ab1b2c0
156065ac30
hex3d6495c8

1030002120 has 192 divisors, whose sum is σ = 4050933120. Its totient is φ = 221571072.

The previous prime is 1030002107. The next prime is 1030002121. The reversal of 1030002120 is 212000301.

It is a happy number.

1030002120 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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1030002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30819 + ... + 54861.

It is an arithmetic number, because the mean of its divisors is an integer number (21098610).

Almost surely, 21030002120 is an apocalyptic number.

1030002120 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 1030002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025466560).

1030002120 is an abundant number, since it is smaller than the sum of its proper divisors (3020931000).

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

1030002120 is a wasteful number, since it uses less digits than its factorization.

1030002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084 (or 24077 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1030002120 is about 32093.6461001239. The cubic root of 1030002120 is about 1009.9023269270.

Adding to 1030002120 its reverse (212000301), we get a palindrome (1242002421).

The spelling of 1030002120 in words is "one billion, thirty million, two thousand, one hundred twenty".