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200132303013 = 342985198937
BaseRepresentation
bin1011101001100011010…
…0001001100010100101
3201010120120020101010000
42322120310021202211
511234332332144023
6231534533451513
720313315336036
oct2723064114245
9633516211100
10200132303013
117796a516435
1232953aa0b99
1315b45862c96
1499878c0a8d
155314daa243
hex2e98d098a5

200132303013 has 20 divisors (see below), whose sum is σ = 309272144940. Its totient is φ = 128820791232.

The previous prime is 200132302991. The next prime is 200132303023. The reversal of 200132303013 is 310303231002.

200132303013 is a `hidden beast` number, since 200 + 132 + 30 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101173614084 + 98958688929 = 318078^2 + 314577^2 .

It is not a de Polignac number, because 200132303013 - 210 = 200132301989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200132303023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42597120 + ... + 42601817.

It is an arithmetic number, because the mean of its divisors is an integer number (15463607247).

Almost surely, 2200132303013 is an apocalyptic number.

It is an amenable number.

200132303013 is a deficient number, since it is larger than the sum of its proper divisors (109139841927).

200132303013 is an equidigital number, since it uses as much as digits as its factorization.

200132303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85198978 (or 85198969 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200132303013 its reverse (310303231002), we get a palindrome (510435534015).

The spelling of 200132303013 in words is "two hundred billion, one hundred thirty-two million, three hundred three thousand, thirteen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 85198937 255596811 766790433 2300371299 2470769173 6901113897 7412307519 22236922557 66710767671 200132303013