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212232323010000 = 2435437613134431
BaseRepresentation
bin110000010000011000110000…
…001110010000110111010000
31000211110012201111102212212210
4300100120300032100313100
5210304203244142310000
62031214103323552120
762463164545331016
oct6020306016206720
91024405644385783
10212232323010000
116169524a4aa157
121b97806768b640
139156564703347
143a5a15646a8b6
1519809b2e77350
hexc10630390dd0

212232323010000 has 400 divisors, whose sum is σ = 715165997224448. Its totient is φ = 54162950400000.

The previous prime is 212232323009989. The next prime is 212232323010023. The reversal of 212232323010000 is 10323232212.

It is a happy number.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 66142785 + ... + 69277215.

Almost surely, 2212232323010000 is an apocalyptic number.

212232323010000 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 212232323010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357582998612224).

212232323010000 is an abundant number, since it is smaller than the sum of its proper divisors (502933674214448).

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

212232323010000 is a wasteful number, since it uses less digits than its factorization.

212232323010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134560 (or 3134539 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212232323010000 its reverse (10323232212), we get a palindrome (212242646242212).

The spelling of 212232323010000 in words is "two hundred twelve trillion, two hundred thirty-two billion, three hundred twenty-three million, ten thousand".