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1312003023012 = 22331141131205619
BaseRepresentation
bin10011000101111001011…
…110010110000010100100
311122102111202011012101000
4103011321132112002210
5132443440233214022
62442420442033300
7163534441455513
oct23057136260244
94572452135330
101312003023012
11466465559020
121923371a8830
139694ba79c16
144770375267a
15241dca916ac
hex131797960a4

1312003023012 has 192 divisors, whose sum is σ = 3830256460800. Its totient is φ = 384916896000.

The previous prime is 1312003022969. The next prime is 1312003023043. The reversal of 1312003023012 is 2103203002131.

1312003023012 is a `hidden beast` number, since 131 + 200 + 30 + 2 + 301 + 2 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6277939 + ... + 6483557.

It is an arithmetic number, because the mean of its divisors is an integer number (19949252400).

Almost surely, 21312003023012 is an apocalyptic number.

1312003023012 is a gapful number since it is divisible by the number (12) 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 1312003023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915128230400).

1312003023012 is an abundant number, since it is smaller than the sum of its proper divisors (2518253437788).

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

1312003023012 is a wasteful number, since it uses less digits than its factorization.

1312003023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205815 (or 205807 counting only the distinct ones).

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

Adding to 1312003023012 its reverse (2103203002131), we get a palindrome (3415206025143).

The spelling of 1312003023012 in words is "one trillion, three hundred twelve billion, three million, twenty-three thousand, twelve".