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213414030000 = 2432542371267
BaseRepresentation
bin1100011011000001110…
…1111010101010110000
3202101212012011000100100
43012300131322222300
511444032442430000
6242012511152400
721263412216123
oct3066035725260
9671765130310
10213414030000
1182565724506
123543bb15700
1317181405432
14a4878243ba
155840e0ba00
hex31b077aab0

213414030000 has 150 divisors (see below), whose sum is σ = 746340004124. Its totient is φ = 56910384000.

The previous prime is 213414029989. The next prime is 213414030001. The reversal of 213414030000 is 30414312.

213414030000 is a `hidden beast` number, since 21 + 341 + 4 + 0 + 300 + 0 + 0 = 666.

213414030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213414030001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1095634 + ... + 1275633.

Almost surely, 2213414030000 is an apocalyptic number.

213414030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213414030000 is an abundant number, since it is smaller than the sum of its proper divisors (532925974124).

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

213414030000 is a wasteful number, since it uses less digits than its factorization.

213414030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371301 (or 2371277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213414030000 its reverse (30414312), we get a palindrome (213444444312).

The spelling of 213414030000 in words is "two hundred thirteen billion, four hundred fourteen million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 2371267 4742534 7113801 9485068 11856335 14227602 18970136 21341403 23712670 28455204 35569005 37940272 42682806 47425340 56910408 59281675 71138010 85365612 94850680 106707015 113820816 118563350 142276020 170731224 177845025 189701360 213414030 237126700 284552040 296408375 341462448 355690050 426828060 474253400 533535075 569104080 592816750 711380100 853656120 889225125 948506800 1067070150 1185633500 1422760200 1482041875 1707312240 1778450250 2134140300 2371267000 2667675375 2845520400 2964083750 3556900500 4268280600 4446125625 4742534000 5335350750 5928167500 7113801000 8536561200 8892251250 10670701500 11856335000 13338376875 14227602000 17784502500 21341403000 23712670000 26676753750 35569005000 42682806000 53353507500 71138010000 106707015000 213414030000