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414111030101 = 73107193327427
BaseRepresentation
bin1100000011010101111…
…00001101101101010101
31110120220002221222020022
412001222330031231111
523241044410430401
6514123500314525
741630025451316
oct6015274155525
91416802858208
10414111030101
1114a69497614a
1268310b42a45
1330086c533b2
14160862dc60d
15ab8a65e71b
hex606af0db55

414111030101 has 16 divisors (see below), whose sum is σ = 423941649984. Its totient is φ = 404397028224.

The previous prime is 414111030043. The next prime is 414111030119. The reversal of 414111030101 is 101030111414.

It is a cyclic number.

It is not a de Polignac number, because 414111030101 - 222 = 414106835797 is a prime.

It is a super-2 number, since 2×4141110301012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414111030101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414111030181) 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, 15084950 + ... + 15112376.

It is an arithmetic number, because the mean of its divisors is an integer number (26496353124).

Almost surely, 2414111030101 is an apocalyptic number.

It is an amenable number.

414111030101 is a deficient number, since it is larger than the sum of its proper divisors (9830619883).

414111030101 is a wasteful number, since it uses less digits than its factorization.

414111030101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29540.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 414111030101 its reverse (101030111414), we get a palindrome (515141141515).

The spelling of 414111030101 in words is "four hundred fourteen billion, one hundred eleven million, thirty thousand, one hundred one".

Divisors: 1 73 107 1933 7811 27427 141109 206831 2002171 2934689 15098663 53016391 214232297 3870196543 5672753837 414111030101