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132111312000 = 2735337731019
BaseRepresentation
bin111101100001001110…
…0101010010010000000
3110122000001202000012120
41323002130222102000
54131030443441000
6140405135524240
712354561423633
oct1730234522200
9418001660176
10132111312000
1151034434088
122172b989680
13c5c5423485
146573a5bc1a
1536833b26a0
hex1ec272a480

132111312000 has 512 divisors, whose sum is σ = 456394348800. Its totient is φ = 33774796800.

The previous prime is 132111311989. The next prime is 132111312023. The reversal of 132111312000 is 213111231.

It is a happy number.

It is a super-2 number, since 2×1321113120002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129647491 + ... + 129648509.

Almost surely, 2132111312000 is an apocalyptic number.

132111312000 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 132111312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228197174400).

132111312000 is an abundant number, since it is smaller than the sum of its proper divisors (324283036800).

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

132111312000 is a wasteful number, since it uses less digits than its factorization.

132111312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132111312000 its reverse (213111231), we get a palindrome (132324423231).

The spelling of 132111312000 in words is "one hundred thirty-two billion, one hundred eleven million, three hundred twelve thousand".