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132201332032 = 267311271701
BaseRepresentation
bin111101100011111010…
…0000011110101000000
3110122020100010111110211
41323013310003311000
54131222020111112
6140422113203504
712360033532000
oct1730764036500
9418210114424
10132201332032
1151080229500
1221755b60594
13c60ac81573
1465819b2000
15368b2450a7
hex1ec7d03d40

132201332032 has 336 divisors, whose sum is σ = 341495481600. Its totient is φ = 50709120000.

The previous prime is 132201331993. The next prime is 132201332041. The reversal of 132201332032 is 230233102231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132201331994 and 132201332012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188589282 + ... + 188589982.

It is an arithmetic number, because the mean of its divisors is an integer number (1016355600).

Almost surely, 2132201332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170747740800).

132201332032 is an abundant number, since it is smaller than the sum of its proper divisors (209294149568).

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

132201332032 is an equidigital number, since it uses as much as digits as its factorization.

132201332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 132201332032 its reverse (230233102231), we get a palindrome (362434434263).

The spelling of 132201332032 in words is "one hundred thirty-two billion, two hundred one million, three hundred thirty-two thousand, thirty-two".