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9301000193 = 611097091973
BaseRepresentation
bin10001010100110001…
…00000000000000001
3220000012110202122122
420222120200000001
5123022024001233
64134532414025
7446326124432
oct105230400001
926005422578
109301000193
113a43199121
121976a77315
13b52c3b414
146433a9489
15396836d98
hex22a620001

9301000193 has 16 divisors (see below), whose sum is σ = 9558502800. Its totient is φ = 9047220480.

The previous prime is 9301000139. The next prime is 9301000207. The reversal of 9301000193 is 3910001039.

It can be written as a sum of positive squares in 8 ways, for example, as 2608451329 + 6692548864 = 51073^2 + 81808^2 .

It is a cyclic number.

It is not a de Polignac number, because 9301000193 - 212 = 9300996097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9301000493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4713155 + ... + 4715127.

It is an arithmetic number, because the mean of its divisors is an integer number (597406425).

It is a Proth number, since it is equal to 70961 ⋅ 217 + 1 and 70961 < 217.

Almost surely, 29301000193 is an apocalyptic number.

It is an amenable number.

9301000193 is a deficient number, since it is larger than the sum of its proper divisors (257502607).

9301000193 is a wasteful number, since it uses less digits than its factorization.

9301000193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852.

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 9301000193 is about 96441.6932296401. The cubic root of 9301000193 is about 2103.0191036330.

The spelling of 9301000193 in words is "nine billion, three hundred one million, one hundred ninety-three", and thus it is an aban number.

Divisors: 1 61 109 709 1973 6649 43249 77281 120353 215057 1398857 4714141 13118477 85330277 152475413 9301000193