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210014040029 is a prime number
BaseRepresentation
bin1100001110010111001…
…1111110111111011101
3202002002020110121220212
43003211303332333131
511420102043240104
6240251253422205
721113225612663
oct3034563767735
9662066417825
10210014040029
11810804a5742
123485133a965
1316a5bbb4051
14a24405ac33
1556e26a736e
hex30e5cfefdd

210014040029 has 2 divisors, whose sum is σ = 210014040030. Its totient is φ = 210014040028.

The previous prime is 210014040017. The next prime is 210014040113. The reversal of 210014040029 is 920040410012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210011392900 + 2647129 = 458270^2 + 1627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210014040029 is a prime.

It is a super-4 number, since 4×2100140400294 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 210014039986 and 210014040013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210014040829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105007020014 + 105007020015.

It is an arithmetic number, because the mean of its divisors is an integer number (105007020015).

Almost surely, 2210014040029 is an apocalyptic number.

It is an amenable number.

210014040029 is a deficient number, since it is larger than the sum of its proper divisors (1).

210014040029 is an equidigital number, since it uses as much as digits as its factorization.

210014040029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 210014040029 in words is "two hundred ten billion, fourteen million, forty thousand, twenty-nine".