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132331210000 = 24541143101277
BaseRepresentation
bin111101100111110001…
…1100000010100010000
3110122120101111222112221
41323033203200110100
54132003242210000
6140443033030424
712363201503653
oct1731743402420
9418511458487
10132331210000
1151137577770
1221791555414
13c62bb56632
146594d3d89a
15369784c61a
hex1ecf8e0510

132331210000 has 400 divisors, whose sum is σ = 362486317248. Its totient is φ = 46368000000.

The previous prime is 132331209977. The next prime is 132331210003. The reversal of 132331210000 is 12133231.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (132331210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 477729862 + ... + 477730138.

Almost surely, 2132331210000 is an apocalyptic number.

132331210000 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 132331210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181243158624).

132331210000 is an abundant number, since it is smaller than the sum of its proper divisors (230155107248).

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

132331210000 is a wasteful number, since it uses less digits than its factorization.

132331210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132331210000 its reverse (12133231), we get a palindrome (132343343231).

The spelling of 132331210000 in words is "one hundred thirty-two billion, three hundred thirty-one million, two hundred ten thousand".