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132221112100 = 2252711193172851
BaseRepresentation
bin111101100100011111…
…1100000111100100100
3110122021201100102121221
41323020333200330210
54131242101041400
6140424101150124
712360363623560
oct1731077407444
9418251312557
10132221112100
1151090409570
12217606bb344
13c6120b884c
1465844806a0
15368cd50c1a
hex1ec8fe0f24

132221112100 has 288 divisors, whose sum is σ = 377865815040. Its totient is φ = 38905920000.

The previous prime is 132221112091. The next prime is 132221112137. The reversal of 132221112100 is 1211122231.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46375675 + ... + 46378525.

It is an arithmetic number, because the mean of its divisors is an integer number (1312034080).

Almost surely, 2132221112100 is an apocalyptic number.

132221112100 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 132221112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188932907520).

132221112100 is an abundant number, since it is smaller than the sum of its proper divisors (245644702940).

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

132221112100 is a wasteful number, since it uses less digits than its factorization.

132221112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 132221112100 its reverse (1211122231), we get a palindrome (133432234331).

The spelling of 132221112100 in words is "one hundred thirty-two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".