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214231302110000 = 24547219241109271
BaseRepresentation
bin110000101101011110011100…
…101010010111101100110000
31001002112022102210021122022202
4300231132130222113230300
5211034431201320010000
62035344300155322332
763060462243330200
oct6055363452275460
91032468383248282
10214231302110000
1162295a9205172a
122003b5657503a8
13926cc045c0576
143ac8bc94cc400
1519b79ab4e5dd5
hexc2d79ca97b30

214231302110000 has 1800 divisors, whose sum is σ = 660729106255680. Its totient is φ = 67016678400000.

The previous prime is 214231302109933. The next prime is 214231302110011. The reversal of 214231302110000 is 11203132412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 790521409865 + ... + 790521410135.

Almost surely, 2214231302110000 is an apocalyptic number.

214231302110000 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 214231302110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330364553127840).

214231302110000 is an abundant number, since it is smaller than the sum of its proper divisors (446497804145680).

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

214231302110000 is a wasteful number, since it uses less digits than its factorization.

214231302110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 214231302110000 its reverse (11203132412), we get a palindrome (214242505242412).

The spelling of 214231302110000 in words is "two hundred fourteen trillion, two hundred thirty-one billion, three hundred two million, one hundred ten thousand".