Search a number
-
+
32000233131200 = 2652379487108359
BaseRepresentation
bin1110100011010101000101…
…00001110100110011000000
311012022012012021012220100002
413101222202201310303000
513143242434140144300
6152020412033015132
76511640415441125
oct721524241646300
9135265167186302
1032000233131200
11a21824a3a3854
123709a393b44a8
1314b17bc08ab79
147c8b68ba474c
153a75ed4a75d5
hex1d1aa2874cc0

32000233131200 has 168 divisors, whose sum is σ = 79111174060800. Its totient is φ = 12739988136960.

The previous prime is 32000233131197. The next prime is 32000233131203. The reversal of 32000233131200 is 213133200023.

It is an interprime number because it is at equal distance from previous prime (32000233131197) and next prime (32000233131203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32000233131203) 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 23 ways as a sum of consecutive naturals, for example, 295262621 + ... + 295370979.

It is an arithmetic number, because the mean of its divisors is an integer number (470899845600).

Almost surely, 232000233131200 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 32000233131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39555587030400).

32000233131200 is an abundant number, since it is smaller than the sum of its proper divisors (47110940929600).

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

32000233131200 is a wasteful number, since it uses less digits than its factorization.

32000233131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109247 (or 109232 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32000233131200 its reverse (213133200023), we get a palindrome (32213366331223).

The spelling of 32000233131200 in words is "thirty-two trillion, two hundred thirty-three million, one hundred thirty-one thousand, two hundred".