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132131010000 = 24354113671091
BaseRepresentation
bin111101100001110011…
…1110011010111010000
3110122001102210202210010
41323003213303113100
54131101014310000
6140411122034520
712355221024333
oct1730347632720
9418042722703
10132131010000
1151044568520
12217364a8a40
13c5c952c2b2
14657650861a
153684ea3d50
hex1ec39f35d0

132131010000 has 400 divisors, whose sum is σ = 467008109568. Its totient is φ = 31915200000.

The previous prime is 132131009987. The next prime is 132131010013. The reversal of 132131010000 is 10131231.

It is an interprime number because it is at equal distance from previous prime (132131009987) and next prime (132131010013).

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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121109455 + ... + 121110545.

Almost surely, 2132131010000 is an apocalyptic number.

132131010000 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 132131010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233504054784).

132131010000 is an abundant number, since it is smaller than the sum of its proper divisors (334877099568).

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

132131010000 is a wasteful number, since it uses less digits than its factorization.

132131010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 132131010000 its reverse (10131231), we get a palindrome (132141141231).

The spelling of 132131010000 in words is "one hundred thirty-two billion, one hundred thirty-one million, ten thousand".