Search a number
-
+
2111411141112 = 2337213229379901
BaseRepresentation
bin11110101110011001111…
…010010011100111111000
321110211220212120020000210
4132232121322103213320
5234043132223003422
64253545140231120
7305354510402400
oct36563172234770
97424825506023
102111411141112
117444985aa119
122a125739b4a0
1312414a210b00
147429b245800
1539dc8e1b10c
hex1eb99e939f8

2111411141112 has 576 divisors, whose sum is σ = 7064882920800. Its totient is φ = 523069747200.

The previous prime is 2111411141071. The next prime is 2111411141159.

It is a happy number.

2111411141112 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213247362 + ... + 213257262.

Almost surely, 22111411141112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111411141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532441460400).

2111411141112 is an abundant number, since it is smaller than the sum of its proper divisors (4953471779688).

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

2111411141112 is a wasteful number, since it uses less digits than its factorization.

2111411141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 9992 counting only the distinct ones).

The product of its digits is 64, while the sum is 21.

The spelling of 2111411141112 in words is "two trillion, one hundred eleven billion, four hundred eleven million, one hundred forty-one thousand, one hundred twelve".