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214007100577 = 1069244182013
BaseRepresentation
bin1100011101001111010…
…0010011010010100001
3202110101112010010020021
43013103310103102201
512001241304204302
6242151414513441
721314203224634
oct3072364232241
9673345103207
10214007100577
118283a47a186
1235586665881
1317247245c7a
14a5024c5c1b
15587800b437
hex31d3d134a1

214007100577 has 8 divisors (see below), whose sum is σ = 214297661160. Its totient is φ = 213716711040.

The previous prime is 214007100557. The next prime is 214007100599. The reversal of 214007100577 is 775001700412.

It can be written as a sum of positive squares in 4 ways, for example, as 12930191521 + 201076909056 = 113711^2 + 448416^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214007100577 - 227 = 213872882849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214007100557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2568423 + ... + 2650435.

It is an arithmetic number, because the mean of its divisors is an integer number (26787207645).

Almost surely, 2214007100577 is an apocalyptic number.

It is an amenable number.

214007100577 is a deficient number, since it is larger than the sum of its proper divisors (290560583).

214007100577 is a wasteful number, since it uses less digits than its factorization.

214007100577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85523.

The product of its (nonzero) digits is 13720, while the sum is 34.

Adding to 214007100577 its reverse (775001700412), we get a palindrome (989008800989).

The spelling of 214007100577 in words is "two hundred fourteen billion, seven million, one hundred thousand, five hundred seventy-seven".

Divisors: 1 1069 2441 82013 2609429 87671897 200193733 214007100577