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2033431000000 = 265613914629
BaseRepresentation
bin11101100101110001111…
…011101011001111000000
321012101122022011121112021
4131211301323223033000
5231303431314000000
64154051215211224
7266624213213251
oct35456173531700
97171568147467
102033431000000
11714411873a04
1228a113b16b14
131199a06b748a
14705c0854b28
1537d62e3411a
hex1d971eeb3c0

2033431000000 has 196 divisors, whose sum is σ = 5080431063400. Its totient is φ = 807465600000.

The previous prime is 2033430999991. The next prime is 2033431000021. The reversal of 2033431000000 is 1343302.

It is a super-2 number, since 2×20334310000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 138992686 + ... + 139007314.

It is an arithmetic number, because the mean of its divisors is an integer number (25920566650).

Almost surely, 22033431000000 is an apocalyptic number.

2033431000000 is a gapful number since it is divisible by the number (20) 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 2033431000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540215531700).

2033431000000 is an abundant number, since it is smaller than the sum of its proper divisors (3047000063400).

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

2033431000000 is an frugal number, since it uses more digits than its factorization.

2033431000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810 (or 14775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2033431000000 its reverse (1343302), we get a palindrome (2033432343302).

The spelling of 2033431000000 in words is "two trillion, thirty-three billion, four hundred thirty-one million", and thus it is an aban number.