Search a number
-
+
21212000110000 = 245471631859071
BaseRepresentation
bin1001101001010110011011…
…01110110100010110110000
32210002211212202111100212201
410310223031232310112300
510240014134012010000
6113040354110432544
74316342065000240
oct464531556642660
983084782440781
1021212000110000
116838a60080407
12246703bb02754
13bab38aa7133b
145349483d1b20
1526bb8d31496a
hex134acdbb45b0

21212000110000 has 200 divisors, whose sum is σ = 59053109755904. Its totient is φ = 7228064160000.

The previous prime is 21212000109991. The next prime is 21212000110013. The reversal of 21212000110000 is 1100021212.

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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10480465 + ... + 12339535.

Almost surely, 221212000110000 is an apocalyptic number.

21212000110000 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 21212000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29526554877952).

21212000110000 is an abundant number, since it is smaller than the sum of its proper divisors (37841109645904).

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

21212000110000 is a wasteful number, since it uses less digits than its factorization.

21212000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859269 (or 1859248 counting only the distinct ones).

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

Adding to 21212000110000 its reverse (1100021212), we get a palindrome (21213100131212).

The spelling of 21212000110000 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten thousand".