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13111213000 = 235389179823
BaseRepresentation
bin11000011010111110…
…10011101111001000
31020211202001122000111
430031133103233020
5203322432304000
610005002444104
7642623320534
oct141537235710
936752048014
1013111213000
115618a35426
12265ab03634
13130c440202
148c5438bc4
1551b0bdcba
hex30d7d3bc8

13111213000 has 128 divisors (see below), whose sum is σ = 31236192000. Its totient is φ = 5150323200.

The previous prime is 13111212977. The next prime is 13111213009. The reversal of 13111213000 is 31211131.

It is not an unprimeable number, because it can be changed into a prime (13111213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15930589 + ... + 15931411.

It is an arithmetic number, because the mean of its divisors is an integer number (244032750).

Almost surely, 213111213000 is an apocalyptic number.

13111213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618096000).

13111213000 is an abundant number, since it is smaller than the sum of its proper divisors (18124979000).

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

13111213000 is a wasteful number, since it uses less digits than its factorization.

13111213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13111213000 its reverse (31211131), we get a palindrome (13142424131).

The spelling of 13111213000 in words is "thirteen billion, one hundred eleven million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 179 200 250 356 358 445 500 712 716 823 890 895 1000 1432 1646 1780 1790 2225 3292 3560 3580 4115 4450 4475 6584 7160 8230 8900 8950 11125 15931 16460 17800 17900 20575 22250 22375 31862 32920 35800 41150 44500 44750 63724 73247 79655 82300 89000 89500 102875 127448 146494 147317 159310 164600 179000 205750 292988 294634 318620 366235 398275 411500 585976 589268 637240 732470 736585 796550 823000 1178536 1464940 1473170 1593100 1831175 1991375 2929880 2946340 3186200 3662350 3682925 3982750 5892680 7324700 7365850 7965500 9155875 13111213 14649400 14731700 15931000 18311750 18414625 26222426 29463400 36623500 36829250 52444852 65556065 73247000 73658500 104889704 131112130 147317000 262224260 327780325 524448520 655560650 1311121300 1638901625 2622242600 3277803250 6555606500 13111213000