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334101330131301 = 32291280081724641
BaseRepresentation
bin100101111110111010000011…
…1000110011111100101100101
31121210221202221010212001122100
41023331310013012133211211
5322242404011003200201
63142324010541522313
7130242011263114635
oct11375640706374545
91553852833761570
10334101330131301
119750063a945607
123157b0ab573399
131145680a8a6b65
145c7083aaa86c5
152895b204c0886
hex12fdd0719f965

334101330131301 has 12 divisors (see below), whose sum is σ = 499231872610380. Its totient is φ = 215053729739520.

The previous prime is 334101330131287. The next prime is 334101330131329. The reversal of 334101330131301 is 103131033101433.

334101330131301 is a `hidden beast` number, since 3 + 3 + 4 + 10 + 1 + 330 + 1 + 313 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266486068008801 + 67615262122500 = 16324401^2 + 8222850^2 .

It is not a de Polignac number, because 334101330131301 - 223 = 334101321742693 is a prime.

It is a super-2 number, since 2×3341013301313012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334101330131341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640040862060 + ... + 640040862581.

It is an arithmetic number, because the mean of its divisors is an integer number (41602656050865).

Almost surely, 2334101330131301 is an apocalyptic number.

It is an amenable number.

334101330131301 is a deficient number, since it is larger than the sum of its proper divisors (165130542479079).

334101330131301 is a wasteful number, since it uses less digits than its factorization.

334101330131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280081724676 (or 1280081724673 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 334101330131301 its reverse (103131033101433), we get a palindrome (437232363232734).

The spelling of 334101330131301 in words is "three hundred thirty-four trillion, one hundred one billion, three hundred thirty million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 29 87 261 1280081724641 3840245173923 11520735521769 37122370014589 111367110043767 334101330131301