Search a number
-
+
323131110000000 = 2735747229171
BaseRepresentation
bin100100101111000101101001…
…1000001110000010110000000
31120101010000212122021110022220
41021132023103001300112000
5314323140003130000000
63103124214352131040
7125030311064416041
oct11136132301602600
91511100778243286
10323131110000000
1193a61152647835
12302a8b82b36a80
1310b3c1960627b3
1459b18b46388c8
1527555ad45b1a0
hex125e2d3070580

323131110000000 has 512 divisors, whose sum is σ = 1095725819934720. Its totient is φ = 84334560000000.

The previous prime is 323131109999987. The next prime is 323131110000007. The reversal of 323131110000000 is 11131323.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323131110000007) 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 63 ways as a sum of consecutive naturals, for example, 1409885415 + ... + 1410114585.

It is an arithmetic number, because the mean of its divisors is an integer number (2140089492060).

Almost surely, 2323131110000000 is an apocalyptic number.

323131110000000 is a gapful number since it is divisible by the number (30) 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 323131110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547862909967360).

323131110000000 is an abundant number, since it is smaller than the sum of its proper divisors (772594709934720).

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

323131110000000 is an frugal number, since it uses more digits than its factorization.

323131110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229270 (or 229228 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 323131110000000 its reverse (11131323), we get a palindrome (323131121131323).

The spelling of 323131110000000 in words is "three hundred twenty-three trillion, one hundred thirty-one billion, one hundred ten million", and thus it is an aban number.