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413133330157 is a prime number
BaseRepresentation
bin1100000001100001010…
…10100101011011101101
31110111100222020200001021
412000300222211123231
523232044113031112
6513442453014141
741563554236212
oct6006052453355
91414328220037
10413133330157
1114a232aa3769
1268099624351
132cc5c523512
1415dd2517b09
15ab2e8d5907
hex6030aa56ed

413133330157 has 2 divisors, whose sum is σ = 413133330158. Its totient is φ = 413133330156.

The previous prime is 413133329989. The next prime is 413133330173. The reversal of 413133330157 is 751033331314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308101594761 + 105031735396 = 555069^2 + 324086^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413133330157 is a prime.

It is a super-2 number, since 2×4131333301572 (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 (413133331157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206566665078 + 206566665079.

It is an arithmetic number, because the mean of its divisors is an integer number (206566665079).

Almost surely, 2413133330157 is an apocalyptic number.

It is an amenable number.

413133330157 is a deficient number, since it is larger than the sum of its proper divisors (1).

413133330157 is an equidigital number, since it uses as much as digits as its factorization.

413133330157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 34.

The spelling of 413133330157 in words is "four hundred thirteen billion, one hundred thirty-three million, three hundred thirty thousand, one hundred fifty-seven".