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10030000100 = 2252100300001
BaseRepresentation
bin10010101011101010…
…11010011111100100
3221220000012210112012
421111311122133210
5131020140000400
64335133413352
7503360410541
oct112565323744
927800183465
1010030000100
11428774558a
121b3b03a258
13c3ac92503
146b2131bc8
153da836d35
hex255d5a7e4

10030000100 has 18 divisors (see below), whose sum is σ = 21765100434. Its totient is φ = 4012000000.

The previous prime is 10030000093. The next prime is 10030000139. The reversal of 10030000100 is 100003001.

It can be written as a sum of positive squares in 3 ways, for example, as 509314624 + 9520685476 = 22568^2 + 97574^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50149901 + ... + 50150100.

Almost surely, 210030000100 is an apocalyptic number.

10030000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030000100 is an abundant number, since it is smaller than the sum of its proper divisors (11735100334).

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

10030000100 is a wasteful number, since it uses less digits than its factorization.

10030000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100300015 (or 100300008 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 10030000100 its reverse (100003001), we get a palindrome (10130003101).

The spelling of 10030000100 in words is "ten billion, thirty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 100300001 200600002 401200004 501500005 1003000010 2006000020 2507500025 5015000050 10030000100