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132221310112 = 2531263506797
BaseRepresentation
bin111101100100100000…
…0010001010010100000
3110122021201201111020201
41323021000101102200
54131242123410422
6140424105314544
712360365410063
oct1731100212240
9418251644221
10132221310112
1151090534311
1221760795a54
13c612157a08
1465844d28da
15368cd8e727
hex1ec90114a0

132221310112 has 48 divisors (see below), whose sum is σ = 269730058752. Its totient is φ = 63734664960.

The previous prime is 132221310101. The next prime is 132221310113. The reversal of 132221310112 is 211013122231.

It is a self number, because there is not a number n which added to its sum of digits gives 132221310112.

It is not an unprimeable number, because it can be changed into a prime (132221310113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7498 + ... + 514294.

It is an arithmetic number, because the mean of its divisors is an integer number (5619376224).

Almost surely, 2132221310112 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 132221310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134865029376).

132221310112 is an abundant number, since it is smaller than the sum of its proper divisors (137508748640).

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

132221310112 is a wasteful number, since it uses less digits than its factorization.

132221310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507101 (or 507093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 132221310112 its reverse (211013122231), we get a palindrome (343234432343).

The spelling of 132221310112 in words is "one hundred thirty-two billion, two hundred twenty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 263 496 526 992 1052 2104 4208 8153 8416 16306 32612 65224 130448 260896 506797 1013594 2027188 4054376 8108752 15710707 16217504 31421414 62842828 125685656 133287611 251371312 266575222 502742624 533150444 1066300888 2132601776 4131915941 4265203552 8263831882 16527663764 33055327528 66110655056 132221310112