Search a number
-
+
1381132187136 = 2936131971211
BaseRepresentation
bin10100000110010001111…
…001001011011000000000
311220000221110212121000000
4110012101321023120000
5140112024314442021
62534252224000000
7201532512614202
oct24062171133000
94800843777000
101381132187136
1149280a128219
121a380a460000
13a031796c570
144abc0840772
1525dd69d6b26
hex14191e4b600

1381132187136 has 1120 divisors, whose sum is σ = 4778836634880. Its totient is φ = 395045683200.

The previous prime is 1381132187101. The next prime is 1381132187137. The reversal of 1381132187136 is 6317812311831.

1381132187136 is a `hidden beast` number, since 1 + 381 + 132 + 1 + 8 + 7 + 136 = 666.

It is a super-2 number, since 2×13811321871362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1381132187091 and 1381132187100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381132187137) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6545650071 + ... + 6545650281.

It is an arithmetic number, because the mean of its divisors is an integer number (4266818424).

Almost surely, 21381132187136 is an apocalyptic number.

1381132187136 is a gapful number since it is divisible by the number (16) 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 1381132187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389418317440).

1381132187136 is an abundant number, since it is smaller than the sum of its proper divisors (3397704447744).

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

1381132187136 is an equidigital number, since it uses as much as digits as its factorization.

1381132187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 319 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

Adding to 1381132187136 its reverse (6317812311831), we get a palindrome (7698944498967).

The spelling of 1381132187136 in words is "one trillion, three hundred eighty-one billion, one hundred thirty-two million, one hundred eighty-seven thousand, one hundred thirty-six".