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414130205501 is a prime number
BaseRepresentation
bin1100000011011000001…
…01010111001100111101
31110120221110001011221022
412001230011113030331
523241114313034001
6514125423313525
741630350444265
oct6015405271475
91416843034838
10414130205501
1114a6a4782991
126831744b8a5
133008ac0839c
1416088a907a5
15ab8c19b11b
hex606c15733d

414130205501 has 2 divisors, whose sum is σ = 414130205502. Its totient is φ = 414130205500.

The previous prime is 414130205399. The next prime is 414130205519. The reversal of 414130205501 is 105502031414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379981013476 + 34149192025 = 616426^2 + 184795^2 .

It is a cyclic number.

It is not a de Polignac number, because 414130205501 - 234 = 396950336317 is a prime.

It is a super-2 number, since 2×4141302055012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414130205581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207065102750 + 207065102751.

It is an arithmetic number, because the mean of its divisors is an integer number (207065102751).

Almost surely, 2414130205501 is an apocalyptic number.

It is an amenable number.

414130205501 is a deficient number, since it is larger than the sum of its proper divisors (1).

414130205501 is an equidigital number, since it uses as much as digits as its factorization.

414130205501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 414130205501 its reverse (105502031414), we get a palindrome (519632236915).

The spelling of 414130205501 in words is "four hundred fourteen billion, one hundred thirty million, two hundred five thousand, five hundred one".