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12330401331 = 3131211241617
BaseRepresentation
bin10110111101111001…
…01111111000110011
31011211022211021202210
423132330233320303
5200223040320311
65355311143203
7614362452633
oct133674577063
934738737683
1012330401331
115258210026
122481514b03
131216748181
1484d8666c3
154c27873a6
hex2def2fe33

12330401331 has 32 divisors (see below), whose sum is σ = 16740700416. Its totient is φ = 8072064000.

The previous prime is 12330401323. The next prime is 12330401341. The reversal of 12330401331 is 13310403321.

It is not a de Polignac number, because 12330401331 - 23 = 12330401323 is a prime.

It is a super-2 number, since 2×123304013312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12330401298 and 12330401307.

It is not an unprimeable number, because it can be changed into a prime (12330401341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19984135 + ... + 19984751.

It is an arithmetic number, because the mean of its divisors is an integer number (523146888).

Almost surely, 212330401331 is an apocalyptic number.

12330401331 is a deficient number, since it is larger than the sum of its proper divisors (4410299085).

12330401331 is a wasteful number, since it uses less digits than its factorization.

12330401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12330401331 its reverse (13310403321), we get a palindrome (25640804652).

The spelling of 12330401331 in words is "twelve billion, three hundred thirty million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 3 131 211 241 393 617 633 723 1851 27641 31571 50851 80827 82923 94713 130187 148697 152553 242481 390561 446091 6661481 17054497 19479307 19984443 31375067 51163491 58437921 94125201 4110133777 12330401331