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100005000100 = 22521000050001
BaseRepresentation
bin101110100100011000…
…0110011001110100100
3100120010112001101002121
41131020300303032210
53114302240000400
6113535222115324
710140134322025
oct1351060631644
9316115041077
10100005000100
1139459240815
121746b57bb44
139579870595
144ba99a2c4c
1529048c621a
hex1748c333a4

100005000100 has 18 divisors (see below), whose sum is σ = 217010850434. Its totient is φ = 40002000000.

The previous prime is 100005000079. The next prime is 100005000133. The reversal of 100005000100 is 1000500001.

It can be written as a sum of positive squares in 3 ways, for example, as 18498176064 + 81506824036 = 136008^2 + 285494^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500024901 + ... + 500025100.

Almost surely, 2100005000100 is an apocalyptic number.

100005000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005000100 is an abundant number, since it is smaller than the sum of its proper divisors (117005850334).

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

100005000100 is a wasteful number, since it uses less digits than its factorization.

100005000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000050015 (or 1000050008 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

Adding to 100005000100 its reverse (1000500001), we get a palindrome (101005500101).

The spelling of 100005000100 in words is "one hundred billion, five million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1000050001 2000100002 4000200004 5000250005 10000500010 20001000020 25001250025 50002500050 100005000100