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214241323213000 = 2353755272836619
BaseRepresentation
bin110000101101100111110001…
…111101110110000011001000
31001002120021022011202102022201
4300231213301331312003020
5211040112212220304000
62035353034414325544
763061265465314006
oct6055476175660310
91032507264672281
10214241323213000
116229a26476a736
12200414a17b98b4
139270b40789205
143ac949a385a76
1519b7d9617196a
hexc2d9f1f760c8

214241323213000 has 64 divisors (see below), whose sum is σ = 501331510742400. Its totient is φ = 85695364427200.

The previous prime is 214241323212953. The next prime is 214241323213007. The reversal of 214241323213000 is 312323142412.

It is a self number, because there is not a number n which added to its sum of digits gives 214241323213000.

It is not an unprimeable number, because it can be changed into a prime (214241323213007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74108691 + ... + 76945309.

It is an arithmetic number, because the mean of its divisors is an integer number (7833304855350).

Almost surely, 2214241323213000 is an apocalyptic number.

214241323213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214241323213000 is an abundant number, since it is smaller than the sum of its proper divisors (287090187529400).

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

214241323213000 is a wasteful number, since it uses less digits than its factorization.

214241323213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912167 (or 2912153 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 214241323213000 its reverse (312323142412), we get a palindrome (214553646355412).

The spelling of 214241323213000 in words is "two hundred fourteen trillion, two hundred forty-one billion, three hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 75527 151054 302108 377635 604216 755270 1510540 1888175 2836619 3021080 3776350 5673238 7552700 9440875 11346476 14183095 15105400 18881750 22692952 28366190 37763500 56732380 70915475 75527000 113464760 141830950 283661900 354577375 567323800 709154750 1418309500 2836619000 214241323213 428482646426 856965292852 1071206616065 1713930585704 2142413232130 4284826464260 5356033080325 8569652928520 10712066160650 21424132321300 26780165401625 42848264642600 53560330803250 107120661606500 214241323213000