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330000331401 = 321311932364221
BaseRepresentation
bin1001100110101011000…
…11010111001010001001
31011112210021211202201100
410303111203113022021
520401320041101101
6411333340212013
732561500351356
oct4632543271211
91145707752640
10330000331401
11117a52647314
1253b5853a009
13251712ab7b0
1411d8763562d
1588b6350e86
hex4cd58d7289

330000331401 has 24 divisors (see below), whose sum is σ = 513764354376. Its totient is φ = 202906817280.

The previous prime is 330000331399. The next prime is 330000331471. The reversal of 330000331401 is 104133000033.

330000331401 is a `hidden beast` number, since 330 + 0 + 0 + 0 + 331 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36101900025 + 293898431376 = 190005^2 + 542124^2 .

It is not a de Polignac number, because 330000331401 - 21 = 330000331399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330000331471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042530 + ... + 1321691.

It is an arithmetic number, because the mean of its divisors is an integer number (21406848099).

Almost surely, 2330000331401 is an apocalyptic number.

It is an amenable number.

330000331401 is a deficient number, since it is larger than the sum of its proper divisors (183764022975).

330000331401 is a wasteful number, since it uses less digits than its factorization.

330000331401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365433 (or 2365430 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330000331401 its reverse (104133000033), we get a palindrome (434133331434).

The spelling of 330000331401 in words is "three hundred thirty billion, three hundred thirty-one thousand, four hundred one".

Divisors: 1 3 9 13 39 117 1193 3579 10737 15509 46527 139581 2364221 7092663 21277989 30734873 92204619 276613857 2820515653 8461546959 25384640877 36666703489 110000110467 330000331401