Search a number
-
+
21212000021212 = 227111319530352579
BaseRepresentation
bin1001101001010110011011…
…01110011110101011011100
32210002211212202022212002021
410310223031232132223130
510240014134001134322
6113040354104505524
74316342064150340
oct464531556365334
983084782285067
1021212000021212
116838a6001a730
12246703ba7b2a4
13bab38aa3cac0
145349483ab620
1526bb8d2e84c7
hex134acdb9eadc

21212000021212 has 192 divisors, whose sum is σ = 52474873651200. Its totient is φ = 7225680971520.

The previous prime is 21212000021203. The next prime is 21212000021243.

It is a happy number.

21212000021212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403404739 + ... + 403457317.

It is an arithmetic number, because the mean of its divisors is an integer number (273306633600).

Almost surely, 221212000021212 is an apocalyptic number.

21212000021212 is a gapful number since it is divisible by the number (22) 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 21212000021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26237436825600).

21212000021212 is an abundant number, since it is smaller than the sum of its proper divisors (31262873629988).

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

21212000021212 is a wasteful number, since it uses less digits than its factorization.

21212000021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57936 (or 57934 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 212120000 and 21212, that multiplied together give a square (4499489440000 = 21212002).

The spelling of 21212000021212 in words is "twenty-one trillion, two hundred twelve billion, twenty-one thousand, two hundred twelve".