Search a number
-
+
1311231000000 = 26356437077
BaseRepresentation
bin10011000101001011011…
…101010011110111000000
311122100111221110100220010
4103011023131103313000
5132440400114000000
62442212102544520
7163506345413535
oct23051335236700
94570457410803
101311231000000
114660a9796779
12192160738140
1396857b4127c
144766cdcad8c
1524194de3d50
hex1314b753dc0

1311231000000 has 196 divisors, whose sum is σ = 4336577772344. Its totient is φ = 349660800000.

The previous prime is 1311230999993. The next prime is 1311231000007. The reversal of 1311231000000 is 1321131.

It is an interprime number because it is at equal distance from previous prime (1311230999993) and next prime (1311231000007).

It is a super-2 number, since 2×13112310000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1311231000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311231000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2781462 + ... + 3218538.

Almost surely, 21311231000000 is an apocalyptic number.

1311231000000 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 1311231000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168288886172).

1311231000000 is an abundant number, since it is smaller than the sum of its proper divisors (3025346772344).

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

1311231000000 is an frugal number, since it uses more digits than its factorization.

1311231000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437122 (or 437087 counting only the distinct ones).

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

Adding to 1311231000000 its reverse (1321131), we get a palindrome (1311232321131).

The spelling of 1311231000000 in words is "one trillion, three hundred eleven billion, two hundred thirty-one million", and thus it is an aban number.