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13111431554331 = 3211711865333839
BaseRepresentation
bin1011111011001011111000…
…1110000110010100011011
31201102102220012122000000100
42332302332032012110123
53204304202434214311
643515150345310443
72522161332235545
oct276627616062433
951372805560010
1013111431554331
1141a5588330860
1215790bba95423
13741530931396
1433484d3b2695
1517b0d22a8a56
hexbecbe38651b

13111431554331 has 24 divisors (see below), whose sum is σ = 20951429690880. Its totient is φ = 7834402119600.

The previous prime is 13111431554323. The next prime is 13111431554461. The reversal of 13111431554331 is 13345513411131.

13111431554331 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 4 + 315 + 5 + 4 + 331 = 666.

It is not a de Polignac number, because 13111431554331 - 23 = 13111431554323 is a prime.

It is a super-3 number, since 3×131114315543313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13111431554321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932659891 + ... + 932673948.

It is an arithmetic number, because the mean of its divisors is an integer number (872976237120).

Almost surely, 213111431554331 is an apocalyptic number.

13111431554331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13111431554331 is a deficient number, since it is larger than the sum of its proper divisors (7839998136549).

13111431554331 is a wasteful number, since it uses less digits than its factorization.

13111431554331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865333927 (or 1865333924 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 13111431554331 its reverse (13345513411131), we get a palindrome (26456944965462).

The spelling of 13111431554331 in words is "thirteen trillion, one hundred eleven billion, four hundred thirty-one million, five hundred fifty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 1865333839 5596001517 16788004551 20518672229 61556016687 132438702569 184668050061 397316107707 1191948323121 1456825728259 4370477184777 13111431554331