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331330014210431 = 19416719732224211
BaseRepresentation
bin100101101010101111100011…
…1110011001110100101111111
31121110010211200101000122222202
41023111133013303032211333
5321412002332114213211
63132402523543502115
7126534542424343445
oct11325370763164577
91543124611018882
10331330014210431
11966322a72a2255
12311b1b8745793b
13112b5394c3a712
145bb665b634b95
1528489c254253b
hex12d57c7cce97f

331330014210431 has 32 divisors (see below), whose sum is σ = 364448103909120. Its totient is φ = 300133714003200.

The previous prime is 331330014210397. The next prime is 331330014210449. The reversal of 331330014210431 is 134012410033133.

It is a cyclic number.

It is not a de Polignac number, because 331330014210431 - 26 = 331330014210367 is a prime.

It is a super-2 number, since 2×3313300142104312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331330014210394 and 331330014210403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331330014210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5830085 + ... + 26394126.

It is an arithmetic number, because the mean of its divisors is an integer number (11389003247160).

Almost surely, 2331330014210431 is an apocalyptic number.

331330014210431 is a deficient number, since it is larger than the sum of its proper divisors (33118089698689).

331330014210431 is a wasteful number, since it uses less digits than its factorization.

331330014210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32224535.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 331330014210431 its reverse (134012410033133), we get a palindrome (465342424243564).

The spelling of 331330014210431 in words is "three hundred thirty-one trillion, three hundred thirty billion, fourteen million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 19 41 67 197 779 1273 2747 3743 8077 13199 52193 153463 250781 541159 10282021 32224211 612260009 1321192651 2159022137 6348169567 25102660369 41021420603 88519907617 120615221773 260274952247 425327360989 1681878244723 4945224092693 8081219858791 17438421800549 331330014210431