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13304188140331 = 1147163643245527
BaseRepresentation
bin1100000110011001111101…
…1010000111101100101011
31202002212102202011010111011
43001212133122013230223
53220433434130442311
644143505404044351
72542124120211514
oct301463732075453
952085382133434
1013304188140331
11426a3024028a0
1215aa5358336b7
1375676c39c86a
1433dcd7493a0b
15181114881321
hexc199f687b2b

13304188140331 has 32 divisors (see below), whose sum is σ = 14936650702848. Its totient is φ = 11746415607840.

The previous prime is 13304188140301. The next prime is 13304188140343.

13304188140331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13304188140331 - 221 = 13304186043179 is a prime.

It is a super-2 number, since 2×133041881403312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13304188140301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54063490 + ... + 54309016.

It is an arithmetic number, because the mean of its divisors is an integer number (466770334464).

Almost surely, 213304188140331 is an apocalyptic number.

13304188140331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13304188140331 is a deficient number, since it is larger than the sum of its proper divisors (1632462562517).

13304188140331 is a wasteful number, since it uses less digits than its factorization.

13304188140331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246391.

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 1330418 and 8140331, that added together give a palindrome (9470749).

The spelling of 13304188140331 in words is "thirteen trillion, three hundred four billion, one hundred eighty-eight million, one hundred forty thousand, three hundred thirty-one".

Divisors: 1 11 47 163 517 643 1793 7073 7661 30221 84271 104809 245527 332431 1152899 2700797 4926023 11539769 40020901 54186253 126937459 157873861 440229911 1736612471 1880982347 7420071467 20690805817 25733439343 81620786137 283067832773 1209471649121 13304188140331