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100020212200 = 2352500101061
BaseRepresentation
bin101110100100110101…
…0110101000111101000
3100120011120200020011201
41131021222311013220
53114320133242300
6113540524133544
710140410530126
oct1351152650750
9316146606151
10100020212200
11394668908a7
12174746972b4
13957ca6861c
144baba02916
152905dcd66a
hex1749ab51e8

100020212200 has 24 divisors (see below), whose sum is σ = 232546993830. Its totient is φ = 40008084800.

The previous prime is 100020212183. The next prime is 100020212207. The reversal of 100020212200 is 2212020001.

It can be written as a sum of positive squares in 3 ways, for example, as 89761358404 + 10258853796 = 299602^2 + 101286^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100020212207) by changing a digit.

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, 250050331 + ... + 250050730.

Almost surely, 2100020212200 is an apocalyptic number.

100020212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020212200 is an abundant number, since it is smaller than the sum of its proper divisors (132526781630).

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

100020212200 is a wasteful number, since it uses less digits than its factorization.

100020212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500101077 (or 500101068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100020212200 its reverse (2212020001), we get a palindrome (102232232201).

The spelling of 100020212200 in words is "one hundred billion, twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500101061 1000202122 2000404244 2500505305 4000808488 5001010610 10002021220 12502526525 20004042440 25005053050 50010106100 100020212200