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10601001601 is a prime number
BaseRepresentation
bin10011101111101111…
…00111001010000001
31000100210122200022221
421313313213022001
5133202324022401
64511532131041
7523463012131
oct116767471201
930323580287
1010601001601
11454aa97453
12207a306a81
13ccc376c18
14727ccaac1
15420a277a1
hex277de7281

10601001601 has 2 divisors, whose sum is σ = 10601001602. Its totient is φ = 10601001600.

The previous prime is 10601001589. The next prime is 10601001623. The reversal of 10601001601 is 10610010601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7634565376 + 2966436225 = 87376^2 + 54465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10601001601 - 231 = 8453517953 is a prime.

It is a super-2 number, since 2×106010016012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10601001641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5300500800 + 5300500801.

It is an arithmetic number, because the mean of its divisors is an integer number (5300500801).

Almost surely, 210601001601 is an apocalyptic number.

It is an amenable number.

10601001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10601001601 is an equidigital number, since it uses as much as digits as its factorization.

10601001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10601001601 in words is "ten billion, six hundred one million, one thousand, six hundred one".