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402114300017 is a prime number
BaseRepresentation
bin1011101100111111110…
…00010100100001110001
31102102221000222221100212
411312133320110201301
523042012230100032
6504421224553505
741023524104003
oct5663770244161
91372830887325
10402114300017
11145599048291
1265b23322895
132bbc4695041
1415668cd2373
15a6d7337bb2
hex5d9fe14871

402114300017 has 2 divisors, whose sum is σ = 402114300018. Its totient is φ = 402114300016.

The previous prime is 402114299989. The next prime is 402114300043. The reversal of 402114300017 is 710003411204.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216849480241 + 185264819776 = 465671^2 + 430424^2 .

It is a cyclic number.

It is not a de Polignac number, because 402114300017 - 222 = 402110105713 is a prime.

It is a super-3 number, since 3×4021143000173 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402114299965 and 402114300001.

It is not a weakly prime, because it can be changed into another prime (402110300017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201057150008 + 201057150009.

It is an arithmetic number, because the mean of its divisors is an integer number (201057150009).

Almost surely, 2402114300017 is an apocalyptic number.

It is an amenable number.

402114300017 is a deficient number, since it is larger than the sum of its proper divisors (1).

402114300017 is an equidigital number, since it uses as much as digits as its factorization.

402114300017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 402114300017 in words is "four hundred two billion, one hundred fourteen million, three hundred thousand, seventeen".