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13213334000 = 245312752021
BaseRepresentation
bin11000100111001001…
…10111100111110000
31021002212012220200202
430103210313213300
5204030103142000
610023051334332
7645303325436
oct142344674760
937085186622
1013213334000
115670645449
1226891513a8
131327647239
148d4c1cd56
15525041dd5
hex3139379f0

13213334000 has 80 divisors (see below), whose sum is σ = 32202034176. Its totient is φ = 5243616000.

The previous prime is 13213333993. The next prime is 13213334051. The reversal of 13213334000 is 43331231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227990 + ... + 280010.

Almost surely, 213213334000 is an apocalyptic number.

13213334000 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 13213334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101017088).

13213334000 is an abundant number, since it is smaller than the sum of its proper divisors (18988700176).

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

13213334000 is a wasteful number, since it uses less digits than its factorization.

13213334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52171 (or 52155 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13213334000 its reverse (43331231), we get a palindrome (13256665231).

The spelling of 13213334000 in words is "thirteen billion, two hundred thirteen million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 635 1000 1016 1270 2000 2032 2540 3175 5080 6350 10160 12700 15875 25400 31750 50800 52021 63500 104042 127000 208084 254000 260105 416168 520210 832336 1040420 1300525 2080840 2601050 4161680 5202100 6502625 6606667 10404200 13005250 13213334 20808400 26010500 26426668 33033335 52021000 52853336 66066670 104042000 105706672 132133340 165166675 264266680 330333350 528533360 660666700 825833375 1321333400 1651666750 2642666800 3303333500 6606667000 13213334000