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212210110000 = 2454729104537
BaseRepresentation
bin1100010110100010110…
…1010100111000110000
3202021202021202112120201
43011220231110320300
511434101242010000
6241253223044544
721221523113230
oct3055055247060
9667667675521
10212210110000
1181aa80905a9
12351648a0754
131701bb6a935
14a3b1993cc0
1557c039996a
hex3168b54e30

212210110000 has 200 divisors, whose sum is σ = 607432684320. Its totient is φ = 70248192000.

The previous prime is 212210109973. The next prime is 212210110061. The reversal of 212210110000 is 11012212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1977732 + ... + 2082268.

Almost surely, 2212210110000 is an apocalyptic number.

212210110000 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 212210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303716342160).

212210110000 is an abundant number, since it is smaller than the sum of its proper divisors (395222574320).

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

212210110000 is a wasteful number, since it uses less digits than its factorization.

212210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104601 (or 104580 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212210110000 its reverse (11012212), we get a palindrome (212221122212).

The spelling of 212210110000 in words is "two hundred twelve billion, two hundred ten million, one hundred ten thousand".