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195130080900 = 223252216811201
BaseRepresentation
bin1011010110111010101…
…0001011111010000100
3200122122221200011101100
42311232222023322010
511144111300042100
6225350322500100
720045335215066
oct2655652137204
9618587604340
10195130080900
1175832930977
1231998804630
1315529406b41
149631401736
155120b65400
hex2d6ea8be84

195130080900 has 54 divisors (see below), whose sum is σ = 611624400842. Its totient is φ = 52034688000.

The previous prime is 195130080839. The next prime is 195130080907. The reversal of 195130080900 is 9080031591.

It is a happy number.

195130080900 is a `hidden beast` number, since 195 + 1 + 300 + 80 + 90 + 0 = 666.

195130080900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 776068164 + 194354012736 = 27858^2 + 440856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (195130080907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 108404701 + ... + 108406500.

Almost surely, 2195130080900 is an apocalyptic number.

195130080900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195130080900 is an abundant number, since it is smaller than the sum of its proper divisors (416494319942).

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

195130080900 is a wasteful number, since it uses less digits than its factorization.

195130080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216811221 (or 216811211 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 195130080900 in words is "one hundred ninety-five billion, one hundred thirty million, eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 216811201 433622402 650433603 867244804 1084056005 1300867206 1951300809 2168112010 2601734412 3252168015 3902601618 4336224020 5420280025 6504336030 7805203236 9756504045 10840560050 13008672060 16260840075 19513008090 21681120100 32521680150 39026016180 48782520225 65043360300 97565040450 195130080900