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1310121142044 = 223111317311448717
BaseRepresentation
bin10011000100001001010…
…011100010011100011100
311122020122121001201222220
4103010021103202130130
5132431112003021134
62441510014505340
7163440010652211
oct23041123423434
94566577051886
101310121142044
1146568a258aa0
12191ab0b05250
139670bc1b5a0
14475a5843b08
152412c762149
hex131094e271c

1310121142044 has 192 divisors, whose sum is σ = 3925307215872. Its totient is φ = 333784166400.

The previous prime is 1310121142037. The next prime is 1310121142051. The reversal of 1310121142044 is 4402411210131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1310121142037) and next prime (1310121142051).

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 63 ways as a sum of consecutive naturals, for example, 179974 + ... + 1628690.

It is an arithmetic number, because the mean of its divisors is an integer number (20444308416).

Almost surely, 21310121142044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310121142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962653607936).

1310121142044 is an abundant number, since it is smaller than the sum of its proper divisors (2615186073828).

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

1310121142044 is a wasteful number, since it uses less digits than its factorization.

1310121142044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448796 (or 1448794 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1310121142044 its reverse (4402411210131), we get a palindrome (5712532352175).

The spelling of 1310121142044 in words is "one trillion, three hundred ten billion, one hundred twenty-one million, one hundred forty-two thousand, forty-four".