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103030221200 = 24521012550253
BaseRepresentation
bin101111111110100010…
…1000110100110010000
3100211221100112112021112
41133331011012212100
53142001214034300
6115155331112452
710305120300434
oct1377505064620
9324840475245
10103030221200
113a770968145
1217b74742728
13993c54583a
144db56929c4
152a3029ce35
hex17fd146990

103030221200 has 60 divisors (see below), whose sum is σ = 249980997588. Its totient is φ = 40804032000.

The previous prime is 103030221191. The next prime is 103030221209. The reversal of 103030221200 is 2122030301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103030221191) and next prime (103030221209).

It can be written as a sum of positive squares in 6 ways, for example, as 18071962624 + 84958258576 = 134432^2 + 291476^2 .

It is not an unprimeable number, because it can be changed into a prime (103030221209) 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 11 ways as a sum of consecutive naturals, for example, 1234727 + ... + 1315526.

Almost surely, 2103030221200 is an apocalyptic number.

103030221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103030221200 is an abundant number, since it is smaller than the sum of its proper divisors (146950776388).

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

103030221200 is a wasteful number, since it uses less digits than its factorization.

103030221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550372 (or 2550361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103030221200 its reverse (2122030301), we get a palindrome (105152251501).

The spelling of 103030221200 in words is "one hundred three billion, thirty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 2550253 5100506 10201012 12751265 20402024 25502530 40804048 51005060 63756325 102010120 127512650 204020240 255025300 257575553 510050600 515151106 1020101200 1030302212 1287877765 2060604424 2575755530 4121208848 5151511060 6439388825 10303022120 12878777650 20606044240 25757555300 51515110600 103030221200