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17004307331 = 114746770429
BaseRepresentation
bin11111101011000100…
…10010001110000011
31121220001121022110102
433311202102032003
5234311100313311
611451153153015
71141245141014
oct176542221603
947801538412
1017004307331
117236540860
12336685b76b
1317acb70b1b
14b744c100b
15697c7843b
hex3f5892383

17004307331 has 16 divisors (see below), whose sum is σ = 18985674240. Its totient is φ = 15096946080.

The previous prime is 17004307321. The next prime is 17004307339. The reversal of 17004307331 is 13370340071.

17004307331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17004307331 is a prime.

It is a super-2 number, since 2×170043073312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17004307294 and 17004307303.

It is not an unprimeable number, because it can be changed into a prime (17004307339) 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 15 ways as a sum of consecutive naturals, for example, 206225 + ... + 276653.

It is an arithmetic number, because the mean of its divisors is an integer number (1186604640).

Almost surely, 217004307331 is an apocalyptic number.

17004307331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17004307331 is a deficient number, since it is larger than the sum of its proper divisors (1981366909).

17004307331 is a wasteful number, since it uses less digits than its factorization.

17004307331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70954.

The product of its (nonzero) digits is 5292, while the sum is 29.

The spelling of 17004307331 in words is "seventeen billion, four million, three hundred seven thousand, three hundred thirty-one".

Divisors: 1 11 47 467 517 5137 21949 70429 241439 774719 3310163 32890343 36411793 361793773 1545846121 17004307331