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330431430201341 = 7302713832140693
BaseRepresentation
bin100101100100001101001000…
…0000001010000111111111101
31121022221221021111200101010012
41023020122100001100333331
5321302242032112420331
63130434034201553005
7126412611606316340
oct11310322001207775
91538857244611105
10330431430201341
1196316201023387
12310879a94a5765
131124b71c93b771
145b84d76324457
15283042e4b882b
hex12c8690050ffd

330431430201341 has 16 divisors (see below), whose sum is σ = 377667530938368. Its totient is φ = 283203233452800.

The previous prime is 330431430201337. The next prime is 330431430201359. The reversal of 330431430201341 is 143102034134033.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 330431430201341 - 22 = 330431430201337 is a prime.

It is a super-3 number, since 3×3304314302013413 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330431430201298 and 330431430201307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330431430201361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8120084591 + ... + 8120125283.

It is an arithmetic number, because the mean of its divisors is an integer number (23604220683648).

Almost surely, 2330431430201341 is an apocalyptic number.

It is an amenable number.

330431430201341 is a deficient number, since it is larger than the sum of its proper divisors (47236100737027).

330431430201341 is a wasteful number, since it uses less digits than its factorization.

330431430201341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109292.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 330431430201341 its reverse (143102034134033), we get a palindrome (473533464335374).

The spelling of 330431430201341 in words is "three hundred thirty trillion, four hundred thirty-one billion, four hundred thirty million, two hundred one thousand, three hundred forty-one".

Divisors: 1 7 30271 38321 40693 211897 268247 284851 1160014991 1231817803 1559396453 8120104937 8622724621 10915775171 47204490028763 330431430201341