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207800134201 = 11229214292
BaseRepresentation
bin1100000110000111011…
…0100110101000111001
3201212100221121120001201
43001201312212220321
511401033313243301
6235243450014201
721004323666022
oct3014166465071
9655327546051
10207800134201
1180144838500
1234333a17361
13167983240ba
14a0b3dddc49
155613140201
hex3061da6a39

207800134201 has 27 divisors (see below), whose sum is σ = 236721811053. Its totient is φ = 182267463840.

The previous prime is 207800134181. The next prime is 207800134229. The reversal of 207800134201 is 102431008702.

The square root of 207800134201 is 455851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47479974201 + 160320160000 = 217899^2 + 400400^2 .

It is not a de Polignac number, because 207800134201 - 211 = 207800132153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 207800134201.

It is not an unprimeable number, because it can be changed into a prime (207800134271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145415755 + ... + 145417183.

Almost surely, 2207800134201 is an apocalyptic number.

207800134201 is the 455851-st square number.

207800134201 is the 227926-th centered octagonal number.

It is an amenable number.

207800134201 is a deficient number, since it is larger than the sum of its proper divisors (28921676852).

207800134201 is an frugal number, since it uses more digits than its factorization.

207800134201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 207800134201 in words is "two hundred seven billion, eight hundred million, one hundred thirty-four thousand, two hundred one".

Divisors: 1 11 29 121 319 841 1429 3509 9251 15719 41441 101761 172909 455851 1201789 2042041 5014361 13219679 22462451 59219189 145416469 247086961 651411079 1717356481 7165521869 18890921291 207800134201