Search a number
-
+
1101222661680 = 2432523373115779
BaseRepresentation
bin10000000001100101111…
…111000100111000110000
310220021110002201102020200
4100001211333010320300
5121020301000133210
62201521131235200
7142363216115601
oct20014577047060
93807402642220
101101222661680
11395031535899
121595112a8b00
137caca1a551b
143b429a15da8
151d9a2eb60c0
hex10065fc4e30

1101222661680 has 480 divisors, whose sum is σ = 3976798325760. Its totient is φ = 272373995520.

The previous prime is 1101222661673. The next prime is 1101222661687. The reversal of 1101222661680 is 861662221011.

It is a happy number.

1101222661680 is a `hidden beast` number, since 1 + 1 + 0 + 12 + 2 + 26 + 616 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1101222661673) and next prime (1101222661687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1101222661687) 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 95 ways as a sum of consecutive naturals, for example, 190553031 + ... + 190558809.

It is an arithmetic number, because the mean of its divisors is an integer number (8284996512).

Almost surely, 21101222661680 is an apocalyptic number.

1101222661680 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 1101222661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988399162880).

1101222661680 is an abundant number, since it is smaller than the sum of its proper divisors (2875575664080).

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

1101222661680 is a wasteful number, since it uses less digits than its factorization.

1101222661680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 1101222661680 its reverse (861662221011), we get a palindrome (1962884882691).

The spelling of 1101222661680 in words is "one trillion, one hundred one billion, two hundred twenty-two million, six hundred sixty-one thousand, six hundred eighty".