Search a number
-
+
110021120022000 = 24353115872839841
BaseRepresentation
bin11001000001000001001001…
…110001101101010111110000
3112102112220202000121001201010
4121001001021301231113300
5103410041223211201000
61025555001011110520
732113522626656655
oct3101011161552760
9472486660531633
10110021120022000
113206877100a330
121040a9b65a2440
134950c40a1a1b5
141d2509cc97c2c
15cabd7d96bd50
hex641049c6d5f0

110021120022000 has 320 divisors, whose sum is σ = 387613624140288. Its totient is φ = 26626339840000.

The previous prime is 110021120021977. The next prime is 110021120022007. The reversal of 110021120022000 is 220021120011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021120022007) 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, 37322080 + ... + 40161920.

Almost surely, 2110021120022000 is an apocalyptic number.

110021120022000 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 110021120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193806812070144).

110021120022000 is an abundant number, since it is smaller than the sum of its proper divisors (277592504118288).

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

110021120022000 is a wasteful number, since it uses less digits than its factorization.

110021120022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840465 (or 2840449 counting only the distinct ones).

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

Adding to 110021120022000 its reverse (220021120011), we get a palindrome (110241141142011).

The spelling of 110021120022000 in words is "one hundred ten trillion, twenty-one billion, one hundred twenty million, twenty-two thousand".