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1310323021020 = 2234513163419911
BaseRepresentation
bin10011000100010101010…
…101101001010011011100
311122021011122221020220000
4103010111111221103130
5132432020143133040
62441542025454300
7163445011623516
oct23042525512334
94567148836800
101310323021020
11465783204722
12191b48641390
13967419b2bc0
14475c4594bb6
152414033d130
hex131155694dc

1310323021020 has 480 divisors, whose sum is σ = 4469414906880. Its totient is φ = 319446167040.

The previous prime is 1310323021001. The next prime is 1310323021027. The reversal of 1310323021020 is 201203230131.

1310323021020 is a `hidden beast` number, since 1 + 310 + 32 + 302 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310323020984 and 1310323021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310323021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1438334365 + ... + 1438335275.

It is an arithmetic number, because the mean of its divisors is an integer number (9311281056).

Almost surely, 21310323021020 is an apocalyptic number.

1310323021020 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 1310323021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234707453440).

1310323021020 is an abundant number, since it is smaller than the sum of its proper divisors (3159091885860).

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

1310323021020 is a wasteful number, since it uses less digits than its factorization.

1310323021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310323021020 its reverse (201203230131), we get a palindrome (1511526251151).

The spelling of 1310323021020 in words is "one trillion, three hundred ten billion, three hundred twenty-three million, twenty-one thousand, twenty".