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331084838629 is a prime number
BaseRepresentation
bin1001101000101100011…
…00011011011011100101
31011122120212112102221201
410310112030123123211
520411030204314004
6412033121042501
732630406460126
oct4642614333345
91148525472851
10331084838629
1111845983a686
12541bb786431
13252b4b9674c
141204b6a004d
15892b6766a4
hex4d1631b6e5

331084838629 has 2 divisors, whose sum is σ = 331084838630. Its totient is φ = 331084838628.

The previous prime is 331084838603. The next prime is 331084838659. The reversal of 331084838629 is 926838480133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279442276129 + 51642562500 = 528623^2 + 227250^2 .

It is an emirp because it is prime and its reverse (926838480133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331084838629 - 217 = 331084707557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331084838629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331084838659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165542419314 + 165542419315.

It is an arithmetic number, because the mean of its divisors is an integer number (165542419315).

Almost surely, 2331084838629 is an apocalyptic number.

It is an amenable number.

331084838629 is a deficient number, since it is larger than the sum of its proper divisors (1).

331084838629 is an equidigital number, since it uses as much as digits as its factorization.

331084838629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 331084838629 in words is "three hundred thirty-one billion, eighty-four million, eight hundred thirty-eight thousand, six hundred twenty-nine".