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21210132120030 = 23357174871355513
BaseRepresentation
bin1001101001010010111100…
…11001000000000111011110
32210002200001120112122101000
410310221132121000013132
510240001322310320110
6113035444501131130
74316244563230320
oct464513631000736
983080046478330
1021210132120030
1168381916a8947
1224667ba3b9aa6
13bab150a67629
1453480c29b610
1526bace32b1c0
hex134a5e6401de

21210132120030 has 256 divisors, whose sum is σ = 68583369461760. Its totient is φ = 4553479286784.

The previous prime is 21210132120017. The next prime is 21210132120031. The reversal of 21210132120030 is 3002123101212.

21210132120030 is a `hidden beast` number, since 2 + 12 + 101 + 321 + 200 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210132119985 and 21210132120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210132120031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14969554 + ... + 16325066.

It is an arithmetic number, because the mean of its divisors is an integer number (267903786960).

Almost surely, 221210132120030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210132120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34291684730880).

21210132120030 is an abundant number, since it is smaller than the sum of its proper divisors (47373237341730).

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

21210132120030 is a wasteful number, since it uses less digits than its factorization.

21210132120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356040 (or 1356034 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21210132120030 its reverse (3002123101212), we get a palindrome (24212255221242).

The spelling of 21210132120030 in words is "twenty-one trillion, two hundred ten billion, one hundred thirty-two million, one hundred twenty thousand, thirty".