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102120320200 = 2352510601601
BaseRepresentation
bin101111100011011011…
…0000110110011001000
3100202120221101202202111
41133012312012303020
53133120300221300
6114525144512104
710243431254023
oct1370666066310
9322527352674
10102120320200
113a344293048
121795ba7b634
139825b93692
144d2a8ba1ba
1529ca4679ba
hex17c6d86cc8

102120320200 has 24 divisors (see below), whose sum is σ = 237429744930. Its totient is φ = 40848128000.

The previous prime is 102120320177. The next prime is 102120320207. The reversal of 102120320200 is 2023021201.

It can be written as a sum of positive squares in 3 ways, for example, as 68703748996 + 33416571204 = 262114^2 + 182802^2 .

It is not an unprimeable number, because it can be changed into a prime (102120320207) 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, 255300601 + ... + 255301000.

Almost surely, 2102120320200 is an apocalyptic number.

102120320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120320200 is an abundant number, since it is smaller than the sum of its proper divisors (135309424730).

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

102120320200 is a wasteful number, since it uses less digits than its factorization.

102120320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510601617 (or 510601608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102120320200 its reverse (2023021201), we get a palindrome (104143341401).

The spelling of 102120320200 in words is "one hundred two billion, one hundred twenty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 510601601 1021203202 2042406404 2553008005 4084812808 5106016010 10212032020 12765040025 20424064040 25530080050 51060160100 102120320200