Search a number
-
+
110021212000 = 25537171811277
BaseRepresentation
bin110011001110111000…
…1100111011101100000
3101111222120022122202201
41212131301213131200
53300310412241000
6122313144222544
710643266605010
oct1463561473540
9344876278681
10110021212000
1142729118a97
12193a5a6aa54
13a4b4a15b9b
145479d45c40
152cdddd796a
hex199dc67760

110021212000 has 384 divisors, whose sum is σ = 329177302272. Its totient is φ = 35278848000.

The previous prime is 110021211967. The next prime is 110021212001. The reversal of 110021212000 is 212120011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021212001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86155362 + ... + 86156638.

It is an arithmetic number, because the mean of its divisors is an integer number (857232558).

Almost surely, 2110021212000 is an apocalyptic number.

110021212000 is a gapful number since it is divisible by the number (10) 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 110021212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164588651136).

110021212000 is an abundant number, since it is smaller than the sum of its proper divisors (219156090272).

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

110021212000 is a wasteful number, since it uses less digits than its factorization.

110021212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1489 counting only the distinct ones).

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

Adding to 110021212000 its reverse (212120011), we get a palindrome (110233332011).

It can be divided in two parts, 1 and 10021212000, that added together give a palindrome (10021212001).

The spelling of 110021212000 in words is "one hundred ten billion, twenty-one million, two hundred twelve thousand".