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132121311552 = 26321723125603
BaseRepresentation
bin111101100001100001…
…0110011100101000000
3110122000202120001000100
41323003002303211000
54131041023432202
6140410134122400
712355042422066
oct1730302634500
9418022501010
10132121311552
115103a04397a
12217331b0400
13c5c7514a79
146575102036
1536841da41c
hex1ec30b3940

132121311552 has 252 divisors, whose sum is σ = 415282132096. Its totient is φ = 40111165440.

The previous prime is 132121311493. The next prime is 132121311557. The reversal of 132121311552 is 255113121231.

132121311552 is a `hidden beast` number, since 1 + 321 + 21 + 311 + 5 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121311557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5147583 + ... + 5173185.

Almost surely, 2132121311552 is an apocalyptic number.

132121311552 is a gapful number since it is divisible by the number (12) 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 132121311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207641066048).

132121311552 is an abundant number, since it is smaller than the sum of its proper divisors (283160820544).

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

132121311552 is a wasteful number, since it uses less digits than its factorization.

132121311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25686 (or 25656 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 132121311552 its reverse (255113121231), we get a palindrome (387234432783).

The spelling of 132121311552 in words is "one hundred thirty-two billion, one hundred twenty-one million, three hundred eleven thousand, five hundred fifty-two".