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331413314173 is a prime number
BaseRepresentation
bin1001101001010011100…
…01011101101001111101
31011200102202121201200121
410310221301131221331
520412213302023143
6412125453254541
732641505455564
oct4645161355175
91150382551617
10331413314173
111186081a3177
1254291794451
1325337c54686
141207d166bdb
15894a40c7ed
hex4d29c5da7d

331413314173 has 2 divisors, whose sum is σ = 331413314174. Its totient is φ = 331413314172.

The previous prime is 331413314069. The next prime is 331413314227. The reversal of 331413314173 is 371413314133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213927525529 + 117485788644 = 462523^2 + 342762^2 .

It is a cyclic number.

It is not a de Polignac number, because 331413314173 - 233 = 322823379581 is a prime.

It is a super-2 number, since 2×3314133141732 (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 (331413315173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165706657086 + 165706657087.

It is an arithmetic number, because the mean of its divisors is an integer number (165706657087).

Almost surely, 2331413314173 is an apocalyptic number.

It is an amenable number.

331413314173 is a deficient number, since it is larger than the sum of its proper divisors (1).

331413314173 is an equidigital number, since it uses as much as digits as its factorization.

331413314173 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 34.

The spelling of 331413314173 in words is "three hundred thirty-one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred seventy-three".