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331301323103133 = 343101110459230203
BaseRepresentation
bin100101101010100010001100…
…1101011010101101110011101
31121110001002121211122101212010
41023111010121223111232131
5321411020102203300013
63132341420545501433
7126532505430063345
oct11325043153255635
91543032554571763
10331301323103133
119662111397a729
12311a84ba941879
13112b2771aa5156
145bb50d8d83d25
152847d937b37c3
hex12d5119ad5b9d

331301323103133 has 32 divisors (see below), whose sum is σ = 456489449095680. Its totient is φ = 213592281134400.

The previous prime is 331301323103131. The next prime is 331301323103173.

331301323103133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331301323103133 - 21 = 331301323103131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331301323103133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331301323103131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439055210 + ... + 1439285412.

It is an arithmetic number, because the mean of its divisors is an integer number (14265295284240).

Almost surely, 2331301323103133 is an apocalyptic number.

It is an amenable number.

331301323103133 is a deficient number, since it is larger than the sum of its proper divisors (125188125992547).

331301323103133 is a wasteful number, since it uses less digits than its factorization.

331301323103133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340809.

The product of its (nonzero) digits is 13122, while the sum is 30.

The spelling of 331301323103133 in words is "three hundred thirty-one trillion, three hundred one billion, three hundred twenty-three million, one hundred three thousand, one hundred thirty-three".

Divisors: 1 3 43 101 129 303 4343 13029 110459 230203 331377 690609 4749737 9898729 11156359 14249211 23250503 29696187 33469077 69751509 479723437 999771629 1439170311 2999314887 25427993177 76283979531 1093403706611 2568227310877 3280211119833 7704681932631 110433774367711 331301323103133