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13111143330 = 2352324319213
BaseRepresentation
bin11000011010111110…
…00010101110100010
31020211201221002110010
430031133002232202
5203322423041310
610005001145350
7642622610445
oct141537025642
936751832403
1013111143330
11561899804a
12265aa8b256
13130c41759c
148c541b65c
1551b0a8320
hex30d7c2ba2

13111143330 has 96 divisors (see below), whose sum is σ = 33661083456. Its totient is φ = 3266347392.

The previous prime is 13111143293. The next prime is 13111143341. The reversal of 13111143330 is 3334111131.

13111143330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13111143297 and 13111143306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672804 + ... + 692016.

It is an arithmetic number, because the mean of its divisors is an integer number (350636286).

Almost surely, 213111143330 is an apocalyptic number.

13111143330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111143330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830541728).

13111143330 is an abundant number, since it is smaller than the sum of its proper divisors (20549940126).

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

13111143330 is a wasteful number, since it uses less digits than its factorization.

13111143330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13111143330 its reverse (3334111131), we get a palindrome (16445254461).

The spelling of 13111143330 in words is "thirteen billion, one hundred eleven million, one hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 43 46 69 86 115 129 138 215 230 258 345 430 529 645 690 989 1058 1290 1587 1978 2645 2967 3174 4945 5290 5934 7935 9890 14835 15870 19213 22747 29670 38426 45494 57639 68241 96065 113735 115278 136482 192130 227470 288195 341205 441899 576390 682410 826159 883798 1325697 1652318 2209495 2478477 2651394 4130795 4418990 4956954 6628485 8261590 10163677 12392385 13256970 19001657 20327354 24784770 30491031 38003314 50818385 57004971 60982062 95008285 101636770 114009942 152455155 190016570 285024855 304910310 437038111 570049710 874076222 1311114333 2185190555 2622228666 4370381110 6555571665 13111143330