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212234110000 = 24541123149563
BaseRepresentation
bin1100010110101000100…
…0111000010000110000
3202021210221220212101121
43011222020320100300
511434123413010000
6241255441312024
721222234112123
oct3055210702060
9667727825347
10212234110000
118200a693110
1235170935614
1317023b21913
14a3b4c403ba
1557c253ab1a
hex316a238430

212234110000 has 400 divisors, whose sum is σ = 589896172800. Its totient is φ = 73194880000.

The previous prime is 212234109943. The next prime is 212234110013. The reversal of 212234110000 is 11432212.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 376969719 + ... + 376970281.

It is an arithmetic number, because the mean of its divisors is an integer number (1474740432).

Almost surely, 2212234110000 is an apocalyptic number.

212234110000 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 212234110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948086400).

212234110000 is an abundant number, since it is smaller than the sum of its proper divisors (377662062800).

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

212234110000 is a wasteful number, since it uses less digits than its factorization.

212234110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212234110000 its reverse (11432212), we get a palindrome (212245542212).

The spelling of 212234110000 in words is "two hundred twelve billion, two hundred thirty-four million, one hundred ten thousand".