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1020300100 = 225210203001
BaseRepresentation
bin111100110100001…
…000101101000100
32122002212121121121
4330310020231010
54042144100400
6245124323324
734166256601
oct7464105504
92562777547
101020300100
11483a29626
12245843544
131334c7091
14997136a8
155e89121a
hex3cd08b44

1020300100 has 18 divisors (see below), whose sum is σ = 2214051434. Its totient is φ = 408120000.

The previous prime is 1020300037. The next prime is 1020300103. The reversal of 1020300100 is 10030201.

It can be written as a sum of positive squares in 3 ways, for example, as 277955584 + 742344516 = 16672^2 + 27246^2 .

It is not an unprimeable number, because it can be changed into a prime (1020300103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5101401 + ... + 5101600.

Almost surely, 21020300100 is an apocalyptic number.

1020300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020300100 is an abundant number, since it is smaller than the sum of its proper divisors (1193751334).

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

1020300100 is a wasteful number, since it uses less digits than its factorization.

1020300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203015 (or 10203008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1020300100 is about 31942.1367475628. The cubic root of 1020300100 is about 1006.7214212770.

Adding to 1020300100 its reverse (10030201), we get a palindrome (1030330301).

The spelling of 1020300100 in words is "one billion, twenty million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10203001 20406002 40812004 51015005 102030010 204060020 255075025 510150050 1020300100