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214203300000 = 253551076673
BaseRepresentation
bin1100011101111110000…
…0101111100010100000
3202110220012022002020120
43013133200233202200
512002142021100000
6242223104040240
721322105002624
oct3073740574240
9673805262216
10214203300000
11829301a6768
1235620303080
1317278a9c3c1
14a520599184
15588a3646a0
hex31df82f8a0

214203300000 has 288 divisors, whose sum is σ = 709484215104. Its totient is φ = 56578560000.

The previous prime is 214203299957. The next prime is 214203300067. The reversal of 214203300000 is 3302412.

214203300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32096664 + ... + 32103336.

It is an arithmetic number, because the mean of its divisors is an integer number (2463486858).

Almost surely, 2214203300000 is an apocalyptic number.

214203300000 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 214203300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354742107552).

214203300000 is an abundant number, since it is smaller than the sum of its proper divisors (495280915104).

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

214203300000 is an equidigital number, since it uses as much as digits as its factorization.

214203300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 214203300000 its reverse (3302412), we get a palindrome (214206602412).

The spelling of 214203300000 in words is "two hundred fourteen billion, two hundred three million, three hundred thousand".