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1030011200 = 2652719067
BaseRepresentation
bin111101011001001…
…011100101000000
32122210010222201222
4331121023211000
54102140324300
6250112414212
734344644051
oct7531134500
92583128658
101030011200
11489461729
12248b47368
131355172aa
149ab20728
156065d785
hex3d64b940

1030011200 has 84 divisors (see below), whose sum is σ = 2570451552. Its totient is φ = 406156800.

The previous prime is 1030011187. The next prime is 1030011209. The reversal of 1030011200 is 21100301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109067 + ... + 118133.

Almost surely, 21030011200 is an apocalyptic number.

1030011200 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 1030011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285225776).

1030011200 is an abundant number, since it is smaller than the sum of its proper divisors (1540440352).

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

1030011200 is an equidigital number, since it uses as much as digits as its factorization.

1030011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1030011200 is about 32093.7875608349. The cubic root of 1030011200 is about 1009.9052945216.

Adding to 1030011200 its reverse (21100301), we get a palindrome (1051111501).

The spelling of 1030011200 in words is "one billion, thirty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 142 160 200 284 320 355 400 568 710 800 1136 1420 1600 1775 2272 2840 3550 4544 5680 7100 9067 11360 14200 18134 22720 28400 36268 45335 56800 72536 90670 113600 145072 181340 226675 290144 362680 453350 580288 643757 725360 906700 1287514 1450720 1813400 2575028 2901440 3218785 3626800 5150056 6437570 7253600 10300112 12875140 14507200 16093925 20600224 25750280 32187850 41200448 51500560 64375700 103001120 128751400 206002240 257502800 515005600 1030011200