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13343231016 = 23328919310789
BaseRepresentation
bin11000110110101000…
…11000110000101000
31021102220122100220100
430123110120300220
5204311331343031
610044011425400
7651441410103
oct143324306050
937386570810
1013343231016
1157279a6a55
122704755260
131348527b8b
1490819373a
1553164ede6
hex31b518c28

13343231016 has 96 divisors (see below), whose sum is σ = 36736713000. Its totient is φ = 4374577152.

The previous prime is 13343230991. The next prime is 13343231053. The reversal of 13343231016 is 61013234331.

13343231016 is a `hidden beast` number, since 1 + 3 + 343 + 2 + 310 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7574220900 + 5769010116 = 87030^2 + 75954^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231350 + ... + 1242138.

Almost surely, 213343231016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13343231016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368356500).

13343231016 is an abundant number, since it is smaller than the sum of its proper divisors (23393481984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13343231016 is a wasteful number, since it uses less digits than its factorization.

13343231016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13343231016 its reverse (61013234331), we get a palindrome (74356465347).

The spelling of 13343231016 in words is "thirteen billion, three hundred forty-three million, two hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 193 267 356 386 534 579 712 772 801 1068 1158 1544 1602 1737 2136 2316 3204 3474 4632 6408 6948 10789 13896 17177 21578 32367 34354 43156 51531 64734 68708 86312 97101 103062 129468 137416 154593 194202 206124 258936 309186 388404 412248 618372 776808 960221 1236744 1920442 2082277 2880663 3840884 4164554 5761326 6246831 7681768 8329108 8641989 11522652 12493662 16658216 17283978 18740493 23045304 24987324 34567956 37480986 49974648 69135912 74961972 149923944 185322653 370645306 555967959 741290612 1111935918 1482581224 1667903877 2223871836 3335807754 4447743672 6671615508 13343231016