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13213003000 = 235367199991
BaseRepresentation
bin11000100111000111…
…00110110011111000
31021002211121002122111
430103203212303320
5204030012044000
610023040302104
7645300446431
oct142343466370
937084532574
1013213003000
11567043979a
122689011934
13132755c692
148d4b74488
15524ec8cba
hex3138e6cf8

13213003000 has 128 divisors (see below), whose sum is σ = 31569408000. Its totient is φ = 5174928000.

The previous prime is 13213002967. The next prime is 13213003031. The reversal of 13213003000 is 30031231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332505 + ... + 13333495.

It is an arithmetic number, because the mean of its divisors is an integer number (246636000).

Almost surely, 213213003000 is an apocalyptic number.

13213003000 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 13213003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784704000).

13213003000 is an abundant number, since it is smaller than the sum of its proper divisors (18356405000).

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

13213003000 is a wasteful number, since it uses less digits than its factorization.

13213003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13213003000 its reverse (30031231), we get a palindrome (13243034231).

The spelling of 13213003000 in words is "thirteen billion, two hundred thirteen million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 199 200 250 268 335 398 500 536 670 796 991 995 1000 1340 1592 1675 1982 1990 2680 3350 3964 3980 4955 4975 6700 7928 7960 8375 9910 9950 13333 13400 16750 19820 19900 24775 24875 26666 33500 39640 39800 49550 49750 53332 66397 66665 67000 99100 99500 106664 123875 132794 133330 197209 198200 199000 247750 265588 266660 331985 333325 394418 495500 531176 533320 663970 666650 788836 986045 991000 1327940 1333300 1577672 1659925 1666625 1972090 2655880 2666600 3319850 3333250 3944180 4930225 6639700 6666500 7888360 8299625 9860450 13213003 13279400 13333000 16599250 19720900 24651125 26426006 33198500 39441800 49302250 52852012 66065015 66397000 98604500 105704024 132130030 197209000 264260060 330325075 528520120 660650150 1321300300 1651625375 2642600600 3303250750 6606501500 13213003000