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132266131200 = 2834527241127
BaseRepresentation
bin111101100101110101…
…1001111111100000000
3110122101212001122020000
41323023223033330000
54131340112144300
6140432350120000
712361451364600
oct1731353177400
9418355048200
10132266131200
1151103868035
12217737b0000
13c61b51ba78
14658a43cc00
153691c94c00
hex1ecbacff00

132266131200 has 1620 divisors, whose sum is σ = 587356906752. Its totient is φ = 29262643200.

The previous prime is 132266131189. The next prime is 132266131223. The reversal of 132266131200 is 2131662231.

132266131200 is a `hidden beast` number, since 1 + 3 + 2 + 26 + 613 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×1322661312002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1041465537 + ... + 1041465663.

Almost surely, 2132266131200 is an apocalyptic number.

132266131200 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 132266131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293678453376).

132266131200 is an abundant number, since it is smaller than the sum of its proper divisors (455090775552).

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

132266131200 is a wasteful number, since it uses less digits than its factorization.

132266131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132266131200 its reverse (2131662231), we get a palindrome (134397793431).

The spelling of 132266131200 in words is "one hundred thirty-two billion, two hundred sixty-six million, one hundred thirty-one thousand, two hundred".