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506105200421 is a prime number
BaseRepresentation
bin1110101110101100011…
…10000111111100100101
31210101100100020000202122
413113112032013330211
531243000412403141
61024300154515325
751364521136442
oct7272616077445
91711310200678
10506105200421
11185702211987
1282105735b45
1338957c5b3c2
141a6d1db89c9
15d271aeb64b
hex75d6387f25

506105200421 has 2 divisors, whose sum is σ = 506105200422. Its totient is φ = 506105200420.

The previous prime is 506105200399. The next prime is 506105200429. The reversal of 506105200421 is 124002501605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506034472321 + 70728100 = 711361^2 + 8410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506105200421 is a prime.

It is a super-2 number, since 2×5061052004212 (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 (506105200429) 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 as a sum of consecutive naturals, namely, 253052600210 + 253052600211.

It is an arithmetic number, because the mean of its divisors is an integer number (253052600211).

Almost surely, 2506105200421 is an apocalyptic number.

It is an amenable number.

506105200421 is a deficient number, since it is larger than the sum of its proper divisors (1).

506105200421 is an equidigital number, since it uses as much as digits as its factorization.

506105200421 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.

The spelling of 506105200421 in words is "five hundred six billion, one hundred five million, two hundred thousand, four hundred twenty-one".