Search a number
-
+
110022223332000 = 2535373613362521
BaseRepresentation
bin11001000001000010001011…
…100010100000001010100000
3112102120000120220200000111110
4121001002023202200022200
5103410101003133111000
61025555302302543320
732113562154650130
oct3101021342401240
9472500526600443
10110022223332000
1132069187885481
121040b063b97b40
134951088489655
141d25165618ac0
15cabde5758850
hex64108b8a02a0

110022223332000 has 384 divisors, whose sum is σ = 412038352147968. Its totient is φ = 25140907008000.

The previous prime is 110022223331893. The next prime is 110022223332013. The reversal of 110022223332000 is 233322220011.

It is a happy number.

It is a super-3 number, since 3×1100222233320003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 303310740 + ... + 303673260.

It is an arithmetic number, because the mean of its divisors is an integer number (1073016542052).

Almost surely, 2110022223332000 is an apocalyptic number.

110022223332000 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 110022223332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206019176073984).

110022223332000 is an abundant number, since it is smaller than the sum of its proper divisors (302016128815968).

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

110022223332000 is a wasteful number, since it uses less digits than its factorization.

110022223332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366169 (or 366151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 110022223332000 its reverse (233322220011), we get a palindrome (110255545552011).

The spelling of 110022223332000 in words is "one hundred ten trillion, twenty-two billion, two hundred twenty-three million, three hundred thirty-two thousand".