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17042402131 = 172937934291
BaseRepresentation
bin11111101111100111…
…00110101101010011
31121222201021201200221
433313303212231103
5234400323332011
611455033453511
71142220012406
oct176763465523
947881251627
1017042402131
117255a9aa67
123377571297
1317b7a1b421
14b79599d3d
1569b2a0971
hex3f7ce6b53

17042402131 has 16 divisors (see below), whose sum is σ = 19171671840. Its totient is φ = 15068229120.

The previous prime is 17042402129. The next prime is 17042402149. The reversal of 17042402131 is 13120424071.

It is a cyclic number.

It is not a de Polignac number, because 17042402131 - 21 = 17042402129 is a prime.

It is a super-2 number, since 2×170424021312 (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 = 17042402096 and 17042402105.

It is not an unprimeable number, because it can be changed into a prime (17042402191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448905 + ... + 485386.

It is an arithmetic number, because the mean of its divisors is an integer number (1198229490).

Almost surely, 217042402131 is an apocalyptic number.

17042402131 is a deficient number, since it is larger than the sum of its proper divisors (2129269709).

17042402131 is a wasteful number, since it uses less digits than its factorization.

17042402131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934374.

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 17042402131 in words is "seventeen billion, forty-two million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 17 29 37 493 629 1073 18241 934291 15882947 27094439 34568767 460605463 587669039 1002494243 17042402131