Search a number
-
+
1110021330000 = 243541121911601
BaseRepresentation
bin10000001001110010011…
…011010101010001010000
310221010011021222002010010
4100021302123111101100
5121141310430030000
62205534201234520
7143124235425042
oct20116233252120
93833137862103
101110021330000
11398837114600
1215b167a92a40
13808a002333b
143ba223bda92
151dd1a673d50
hex102726d5450

1110021330000 has 600 divisors, whose sum is σ = 3961759431168. Its totient is φ = 267520000000.

The previous prime is 1110021329983. The next prime is 1110021330007. The reversal of 1110021330000 is 331200111.

It is a tau number, because it is divible by the number of its divisors (600).

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 (1110021330007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 693329200 + ... + 693330800.

Almost surely, 21110021330000 is an apocalyptic number.

1110021330000 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 1110021330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980879715584).

1110021330000 is an abundant number, since it is smaller than the sum of its proper divisors (2851738101168).

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

1110021330000 is a wasteful number, since it uses less digits than its factorization.

1110021330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1110021330000 its reverse (331200111), we get a palindrome (1110352530111).

The spelling of 1110021330000 in words is "one trillion, one hundred ten billion, twenty-one million, three hundred thirty thousand".