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100001012200 = 2352500005061
BaseRepresentation
bin101110100100010000…
…1100101100111101000
3100120010020112202201121
41131020201211213220
53114300224342300
6113535000425024
710140055402345
oct1351041454750
9316106482647
10100001012200
1139456a67631
121746a178174
139578aa538b
144ba92457cc
15290438981a
hex17488659e8

100001012200 has 24 divisors (see below), whose sum is σ = 232502353830. Its totient is φ = 40000404800.

The previous prime is 100001012171. The next prime is 100001012227. The reversal of 100001012200 is 2210100001.

It can be written as a sum of positive squares in 3 ways, for example, as 74663376516 + 25337635684 = 273246^2 + 159178^2 .

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, 250002331 + ... + 250002730.

Almost surely, 2100001012200 is an apocalyptic number.

100001012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001012200 is an abundant number, since it is smaller than the sum of its proper divisors (132501341630).

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

100001012200 is a wasteful number, since it uses less digits than its factorization.

100001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500005077 (or 500005068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100001012200 its reverse (2210100001), we get a palindrome (102211112201).

The spelling of 100001012200 in words is "one hundred billion, one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500005061 1000010122 2000020244 2500025305 4000040488 5000050610 10000101220 12500126525 20000202440 25000253050 50000506100 100001012200