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101200002208 = 252325978261
BaseRepresentation
bin101111000111111111…
…1010111110010100000
3100200012210122202210221
41132033333113302200
53124224200032313
6114253551132424
710211554553134
oct1361777276240
9320183582727
10101200002208
1139a11843568
1217743814114
13970a304c16
144c805913c4
152974775c8d
hex178ffd7ca0

101200002208 has 36 divisors (see below), whose sum is σ = 208276669818. Its totient is φ = 48399992960.

The previous prime is 101200002181. The next prime is 101200002209. The reversal of 101200002208 is 802200002101.

It can be written as a sum of positive squares in only one way, i.e., 98362522384 + 2837479824 = 313628^2 + 53268^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101200002191 and 101200002200.

It is not an unprimeable number, because it can be changed into a prime (101200002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2972203 + ... + 3006058.

Almost surely, 2101200002208 is an apocalyptic number.

It is an amenable number.

101200002208 is an abundant number, since it is smaller than the sum of its proper divisors (107076667610).

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

101200002208 is an equidigital number, since it uses as much as digits as its factorization.

101200002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978317 (or 5978286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101200002208 its reverse (802200002101), we get a palindrome (903400004309).

The spelling of 101200002208 in words is "one hundred one billion, two hundred million, two thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928 5978261 11956522 23913044 47826088 95652176 137500003 191304352 275000006 550000012 1100000024 2200000048 3162500069 4400000096 6325000138 12650000276 25300000552 50600001104 101200002208