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1310343040020 = 22357109238911981
BaseRepresentation
bin10011000100010110100…
…010000000110000010100
311122021020001121022210110
4103010112202000300110
5132432040304240040
62441544022523020
7163445344032120
oct23042642006024
94567201538713
101310343040020
11465793538253
12191b53296470
1396745ba1b71
14475c70c6580
1524141e94980
hex13116880c14

1310343040020 has 192 divisors, whose sum is σ = 4233691123200. Its totient is φ = 296610232320.

The previous prime is 1310343040007. The next prime is 1310343040051. The reversal of 1310343040020 is 200403430131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109362430 + ... + 109374410.

It is an arithmetic number, because the mean of its divisors is an integer number (22050474600).

Almost surely, 21310343040020 is an apocalyptic number.

1310343040020 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 1310343040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116845561600).

1310343040020 is an abundant number, since it is smaller than the sum of its proper divisors (2923348083180).

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

1310343040020 is a wasteful number, since it uses less digits than its factorization.

1310343040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14498 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1310343040020 its reverse (200403430131), we get a palindrome (1510746470151).

The spelling of 1310343040020 in words is "one trillion, three hundred ten billion, three hundred forty-three million, forty thousand, twenty".