Search a number
-
+
213323302000 = 2453269339607
BaseRepresentation
bin1100011010101100001…
…1110100010001110000
3202101121212102112221001
43012223003310101300
511443341231131000
6241555510411344
721261231102034
oct3065303642160
9671555375831
10213323302000
1182519496196
1235415660b54
131716868a023
14a4797681c4
155837e8946a
hex31ab0f4470

213323302000 has 80 divisors (see below), whose sum is σ = 516020311872. Its totient is φ = 85295481600.

The previous prime is 213323301991. The next prime is 213323302007. The reversal of 213323302000 is 203323312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323302007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5366197 + ... + 5405803.

Almost surely, 2213323302000 is an apocalyptic number.

213323302000 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 213323302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258010155936).

213323302000 is an abundant number, since it is smaller than the sum of its proper divisors (302697009872).

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

213323302000 is a wasteful number, since it uses less digits than its factorization.

213323302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42323 (or 42307 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 213323302000 its reverse (203323312), we get a palindrome (213526625312).

The spelling of 213323302000 in words is "two hundred thirteen billion, three hundred twenty-three million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2693 5386 10772 13465 21544 26930 39607 43088 53860 67325 79214 107720 134650 158428 198035 215440 269300 316856 336625 396070 538600 633712 673250 792140 990175 1077200 1346500 1584280 1980350 2693000 3168560 3960700 4950875 5386000 7921400 9901750 15842800 19803500 39607000 79214000 106661651 213323302 426646604 533308255 853293208 1066616510 1706586416 2133233020 2666541275 4266466040 5333082550 8532932080 10666165100 13332706375 21332330200 26665412750 42664660400 53330825500 106661651000 213323302000