Search a number
-
+
212212110000 = 24354111016367
BaseRepresentation
bin1100010110100011010…
…0111101001010110000
3202021202102112011001210
43011220310331022300
511434102300010000
6241253334000120
721221546113152
oct3055064751260
9667672464053
10212212110000
1181aa92271a0
12351654a6040
131701c3bb077
14a3b1d54ad2
1557c0642350
hex3168d3d2b0

212212110000 has 400 divisors, whose sum is σ = 754843972608. Its totient is φ = 50928000000.

The previous prime is 212212109987. The next prime is 212212110013. The reversal of 212212110000 is 11212212.

212212110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212212109987) and next prime (212212110013).

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 (12).

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, 33326817 + ... + 33333183.

Almost surely, 2212212110000 is an apocalyptic number.

212212110000 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 212212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377421986304).

212212110000 is an abundant number, since it is smaller than the sum of its proper divisors (542631862608).

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

212212110000 is a wasteful number, since it uses less digits than its factorization.

212212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212212110000 its reverse (11212212), we get a palindrome (212223322212).

The spelling of 212212110000 in words is "two hundred twelve billion, two hundred twelve million, one hundred ten thousand".