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1310132220000 = 2535426981173
BaseRepresentation
bin10011000100001001111…
…101110011000001100000
311122020200100220120002120
4103010021331303001200
5132431122322020000
62441511052144240
7163440204061362
oct23041175630140
94566610816076
101310132220000
1146569553502a
12191ab4768080
13967112c99a6
14475a70c8d32
152412d6ee6a0
hex13109f73060

1310132220000 has 240 divisors, whose sum is σ = 4313524667760. Its totient is φ = 348065536000.

The previous prime is 1310132219993. The next prime is 1310132220017. The reversal of 1310132220000 is 222310131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 16099414 + ... + 16180586.

It is an arithmetic number, because the mean of its divisors is an integer number (17973019449).

Almost surely, 21310132220000 is an apocalyptic number.

1310132220000 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 1310132220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156762333880).

1310132220000 is an abundant number, since it is smaller than the sum of its proper divisors (3003392447760).

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

1310132220000 is an equidigital number, since it uses as much as digits as its factorization.

1310132220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81475 (or 81452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1310132220000 its reverse (222310131), we get a palindrome (1310354530131).

The spelling of 1310132220000 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, two hundred twenty thousand".