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207200131425 = 325271719676079
BaseRepresentation
bin1100000011111000010…
…1110001100101100001
3201210211010121020222200
43000332011301211201
511343321213201200
6235104133523413
720653420025550
oct3007605614541
9653733536880
10207200131425
117a967088541
12341a6aa3569
1316700c27181
14a058455d97
1555ca621800
hex303e171961

207200131425 has 288 divisors, whose sum is σ = 479855001600. Its totient is φ = 83182049280.

The previous prime is 207200131423. The next prime is 207200131427. The reversal of 207200131425 is 524131002702.

207200131425 is a `hidden beast` number, since 2 + 0 + 7 + 200 + 1 + 31 + 425 = 666.

It is an interprime number because it is at equal distance from previous prime (207200131423) and next prime (207200131427).

It is not a de Polignac number, because 207200131425 - 21 = 207200131423 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (207200131421) 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 287 ways as a sum of consecutive naturals, for example, 34081536 + ... + 34087614.

It is an arithmetic number, because the mean of its divisors is an integer number (1666163200).

Almost surely, 2207200131425 is an apocalyptic number.

207200131425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

207200131425 is an abundant number, since it is smaller than the sum of its proper divisors (272654870175).

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

207200131425 is a wasteful number, since it uses less digits than its factorization.

207200131425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 207200131425 in words is "two hundred seven billion, two hundred million, one hundred thirty-one thousand, four hundred twenty-five".