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1029300200 = 235221124391
BaseRepresentation
bin111101010110011…
…101111111101000
32122201210212102122
4331112131333220
54102000101300
6250045250412
734335623135
oct7526357750
92581725378
101029300200
11489016525
12248863a08
13135328796
149a9b758c
156056cc85
hex3d59dfe8

1029300200 has 48 divisors (see below), whose sum is σ = 2404563360. Its totient is φ = 409752000.

The previous prime is 1029300199. The next prime is 1029300211. The reversal of 1029300200 is 20039201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30005 + ... + 54395.

It is an arithmetic number, because the mean of its divisors is an integer number (50095070).

Almost surely, 21029300200 is an apocalyptic number.

1029300200 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 1029300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202281680).

1029300200 is an abundant number, since it is smaller than the sum of its proper divisors (1375263160).

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

1029300200 is a wasteful number, since it uses less digits than its factorization.

1029300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24618 (or 24609 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1029300200 is about 32082.7087385090. The cubic root of 1029300200 is about 1009.6728672931.

Adding to 1029300200 its reverse (20039201), we get a palindrome (1049339401).

The spelling of 1029300200 in words is "one billion, twenty-nine million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 4220 5275 8440 10550 21100 24391 42200 48782 97564 121955 195128 243910 487820 609775 975640 1219550 2439100 4878200 5146501 10293002 20586004 25732505 41172008 51465010 102930020 128662525 205860040 257325050 514650100 1029300200