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132223211100 = 223252378814507
BaseRepresentation
bin111101100100100011…
…1100001011001011100
3110122021212022001220200
41323021013201121130
54131243120223400
6140424214143500
712360420515241
oct1731107413134
9418255261820
10132223211100
1151091612582
1221761351b90
13c612672066
1465848695c8
15368d117b00
hex1ec91e165c

132223211100 has 216 divisors, whose sum is σ = 426225251088. Its totient is φ = 34260019200.

The previous prime is 132223211089. The next prime is 132223211101. The reversal of 132223211100 is 1112322231.

132223211100 is a `hidden beast` number, since 1 + 322 + 232 + 1 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29335047 + ... + 29339553.

Almost surely, 2132223211100 is an apocalyptic number.

132223211100 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 132223211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213112625544).

132223211100 is an abundant number, since it is smaller than the sum of its proper divisors (294002039988).

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

132223211100 is a wasteful number, since it uses less digits than its factorization.

132223211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132223211100 its reverse (1112322231), we get a palindrome (133335533331).

The spelling of 132223211100 in words is "one hundred thirty-two billion, two hundred twenty-three million, two hundred eleven thousand, one hundred".