Search a number
-
+
1114122130000 = 24541116760649
BaseRepresentation
bin10000001101100110110…
…110101001001001010000
310221111202002100022011121
4100031212312221021100
5121223210231130000
62211453131452024
7143330661565135
oct20154666511120
93844662308147
101114122130000
1139a550996310
1215bb112b7014
13810a47a8709
143bcd0c9258c
151deaa6aab1a
hex10366da9250

1114122130000 has 200 divisors, whose sum is σ = 2960288654400. Its totient is φ = 402702720000.

The previous prime is 1114122129973. The next prime is 1114122130001. The reversal of 1114122130000 is 312214111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114122130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18339676 + ... + 18400324.

It is an arithmetic number, because the mean of its divisors is an integer number (14801443272).

Almost surely, 21114122130000 is an apocalyptic number.

1114122130000 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 1114122130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480144327200).

1114122130000 is an abundant number, since it is smaller than the sum of its proper divisors (1846166524400).

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

1114122130000 is a wasteful number, since it uses less digits than its factorization.

1114122130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60855 (or 60834 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1114122130000 its reverse (312214111), we get a palindrome (1114434344111).

The spelling of 1114122130000 in words is "one trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred thirty thousand".