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331013201034341 = 72911449314241979
BaseRepresentation
bin100101101000011100000010…
…0010000110111110001100101
31121102000112221010010210120002
41023100320010100313301211
5321341310013431044331
63132001210521551045
7126502625461646030
oct11320700420676145
91542015833123502
10331013201034341
119651aa0153aa01
12311606ab345485
1311291545a3b607
145ba51a5566017
15284062dcb19cb
hex12d0e04437c65

331013201034341 has 16 divisors (see below), whose sum is σ = 391349101948800. Its totient is φ = 273939547589568.

The previous prime is 331013201034233. The next prime is 331013201034403. The reversal of 331013201034341 is 143430102310133.

It is not a de Polignac number, because 331013201034341 - 238 = 330738323127397 is a prime.

It is a super-2 number, since 2×3310132010343412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331013201034041) 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, 16121090 + ... + 30363068.

It is an arithmetic number, because the mean of its divisors is an integer number (24459318871800).

Almost surely, 2331013201034341 is an apocalyptic number.

It is an amenable number.

331013201034341 is a deficient number, since it is larger than the sum of its proper divisors (60335900914459).

331013201034341 is a wasteful number, since it uses less digits than its factorization.

331013201034341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14356508.

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

Adding to 331013201034341 its reverse (143430102310133), we get a palindrome (474443303344474).

The spelling of 331013201034341 in words is "three hundred thirty-one trillion, thirteen billion, two hundred one million, thirty-four thousand, three hundred forty-one".

Divisors: 1 7 29 203 114493 801451 3320297 14241979 23242079 99693853 413017391 2891121737 1630606901647 11414248311529 47287600147763 331013201034341