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213319000000 = 2656213319
BaseRepresentation
bin1100011010101011001…
…1011001111111000000
3202101121120022222200201
43012222303121333000
511443334131000000
6241555234254544
721261146403541
oct3065263317700
9671546288621
10213319000000
1182517018017
1235414127454
1317167811b72
14a478d684c8
1558378d996a
hex31aacd9fc0

213319000000 has 98 divisors (see below), whose sum is σ = 529126820840. Its totient is φ = 85327200000.

The previous prime is 213318999997. The next prime is 213319000001. The reversal of 213319000000 is 913312.

It is a super-2 number, since 2×2133190000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213319000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 893341 + ... + 1106659.

Almost surely, 2213319000000 is an apocalyptic number.

213319000000 is a gapful number since it is divisible by the number (20) 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 213319000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264563410420).

213319000000 is an abundant number, since it is smaller than the sum of its proper divisors (315807820840).

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

213319000000 is an frugal number, since it uses more digits than its factorization.

213319000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213361 (or 213326 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 213319000000 its reverse (913312), we get a palindrome (213319913312).

The spelling of 213319000000 in words is "two hundred thirteen billion, three hundred nineteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 213319 250000 426638 500000 853276 1000000 1066595 1706552 2133190 3413104 4266380 5332975 6826208 8532760 10665950 13652416 17065520 21331900 26664875 34131040 42663800 53329750 68262080 85327600 106659500 133324375 170655200 213319000 266648750 341310400 426638000 533297500 666621875 853276000 1066595000 1333243750 1706552000 2133190000 2666487500 3333109375 4266380000 5332975000 6666218750 8532760000 10665950000 13332437500 21331900000 26664875000 42663800000 53329750000 106659500000 213319000000