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1030011300 = 22325217232927
BaseRepresentation
bin111101011001001…
…011100110100100
32122210010222212200
4331121023212210
54102140330200
6250112414500
734344644253
oct7531134644
92583128780
101030011300
1148946180a
12248b47430
13135517356
149ab2079a
156065d800
hex3d64b9a4

1030011300 has 216 divisors, whose sum is σ = 3568271616. Its totient is φ = 247188480.

The previous prime is 1030011263. The next prime is 1030011319. The reversal of 1030011300 is 31100301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350437 + ... + 353363.

It is an arithmetic number, because the mean of its divisors is an integer number (16519776).

Almost surely, 21030011300 is an apocalyptic number.

1030011300 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 1030011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784135808).

1030011300 is an abundant number, since it is smaller than the sum of its proper divisors (2538260316).

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

1030011300 is a wasteful number, since it uses less digits than its factorization.

1030011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).

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

The square root of 1030011300 is about 32093.7891187688. The cubic root of 1030011300 is about 1009.9053272042.

Adding to 1030011300 its reverse (31100301), we get a palindrome (1061111601).

The spelling of 1030011300 in words is "one billion, thirty million, eleven thousand, three hundred".