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131232332000 = 25537112271877
BaseRepresentation
bin111101000111000001…
…1100111100011100000
3110112201210210012022202
41322032003213203200
54122230434111000
6140142020152332
712324026263010
oct1721603474340
9415653705282
10131232332000
1150723259430
12215255386a8
13c4b52a9573
1464cd013c40
153631138dd5
hex1e8e0e78e0

131232332000 has 384 divisors, whose sum is σ = 403986465792. Its totient is φ = 40701696000.

The previous prime is 131232331981. The next prime is 131232332009. The reversal of 131232332000 is 233232131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131232332009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69915062 + ... + 69916938.

It is an arithmetic number, because the mean of its divisors is an integer number (1052048088).

Almost surely, 2131232332000 is an apocalyptic number.

131232332000 is a gapful number since it is divisible by the number (10) 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 131232332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201993232896).

131232332000 is an abundant number, since it is smaller than the sum of its proper divisors (272754133792).

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

131232332000 is a wasteful number, since it uses less digits than its factorization.

131232332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2129 counting only the distinct ones).

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

Adding to 131232332000 its reverse (233232131), we get a palindrome (131465564131).

The spelling of 131232332000 in words is "one hundred thirty-one billion, two hundred thirty-two million, three hundred thirty-two thousand".