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213664243000 = 23531341400871
BaseRepresentation
bin1100011011111101100…
…0011001110100111000
3202102111121222011001111
43012333120121310320
512000041021234000
6242053410130104
721302541046105
oct3067730316470
9672447864044
10213664243000
118268399320a
12354ab880934
13171c11c0a70
14a4acb57aac
155857d83cba
hex31bf619d38

213664243000 has 128 divisors (see below), whose sum is σ = 551567802240. Its totient is φ = 76967040000.

The previous prime is 213664242971. The next prime is 213664243019. The reversal of 213664243000 is 342466312.

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, 332565 + ... + 733435.

It is an arithmetic number, because the mean of its divisors is an integer number (4309123455).

Almost surely, 2213664243000 is an apocalyptic number.

213664243000 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 213664243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275783901120).

213664243000 is an abundant number, since it is smaller than the sum of its proper divisors (337903559240).

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

213664243000 is a wasteful number, since it uses less digits than its factorization.

213664243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400946 (or 400932 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 213664243000 in words is "two hundred thirteen billion, six hundred sixty-four million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 125 130 164 200 205 250 260 325 328 410 500 520 533 650 820 1000 1025 1066 1300 1625 1640 2050 2132 2600 2665 3250 4100 4264 5125 5330 6500 8200 10250 10660 13000 13325 20500 21320 26650 41000 53300 66625 106600 133250 266500 400871 533000 801742 1603484 2004355 3206968 4008710 5211323 8017420 10021775 10422646 16034840 16435711 20043550 20845292 26056615 32871422 40087100 41690584 50108875 52113230 65742844 80174200 82178555 100217750 104226460 130283075 131485688 164357110 200435500 208452920 213664243 260566150 328714220 400871000 410892775 427328486 521132300 651415375 657428440 821785550 854656972 1042264600 1068321215 1302830750 1643571100 1709313944 2054463875 2136642430 2605661500 3287142200 4108927750 4273284860 5211323000 5341606075 8217855500 8546569720 10683212150 16435711000 21366424300 26708030375 42732848600 53416060750 106832121500 213664243000