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13332411423331 = 71113157739114797
BaseRepresentation
bin1100001000000011000110…
…1001011001101001100011
31202012120021200020110022221
43002000301221121221203
53221414234311021311
644204454131011511
72544143404154440
oct302006151315143
952176250213287
1013332411423331
114280275745070
1215b3ab1739b97
13759319637410
143414139669c7
15181c17500671
hexc2031a59a63

13332411423331 has 64 divisors (see below), whose sum is σ = 18039412823040. Its totient is φ = 9515688399360.

The previous prime is 13332411423329. The next prime is 13332411423349.

13332411423331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13332411423331 - 21 = 13332411423329 is a prime.

It is a super-2 number, since 2×133324114233312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13332411423371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116081625 + ... + 116196421.

It is an arithmetic number, because the mean of its divisors is an integer number (281865825360).

Almost surely, 213332411423331 is an apocalyptic number.

13332411423331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332411423331 is a deficient number, since it is larger than the sum of its proper divisors (4707001399709).

13332411423331 is a wasteful number, since it uses less digits than its factorization.

13332411423331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115724.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 1333241 and 1423331, that added together give a palindrome (2756572).

The spelling of 13332411423331 in words is "thirteen trillion, three hundred thirty-two billion, four hundred eleven million, four hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 157 739 1001 1099 1727 2041 5173 8129 9607 12089 14287 22451 56903 67249 105677 114797 116023 157157 739739 803579 812161 1262767 1276253 1492361 1508299 8839369 8933771 10446527 10558093 16415971 16591289 18023129 84834983 114911797 116139023 126161903 198254419 234300677 593844881 933184813 1102854779 1387780933 1640104739 2577307447 6532293691 7719983453 12131402569 13319092331 18041152129 84919817983 93233646317 146510015641 173148200303 1025570109487 1212037402121 1904630203333 13332411423331