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132220133100 = 2232521173182953
BaseRepresentation
bin111101100100011101…
…1110001111011101100
3110122021122111200200200
41323020323301323230
54131241323224400
6140424024153500
712360352405416
oct1731073617354
9418248450620
10132220133100
115108a8aaa80
1221760308890
13c611b35063
1465842a79b6
15368cc0ab00
hex1ec8ef1eec

132220133100 has 216 divisors, whose sum is σ = 458308551792. Its totient is φ = 31614105600.

The previous prime is 132220133099. The next prime is 132220133117. The reversal of 132220133100 is 1331022231.

132220133100 is a `hidden beast` number, since 1 + 322 + 20 + 13 + 310 + 0 = 666.

132220133100 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322201331002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631224 + ... + 814176.

Almost surely, 2132220133100 is an apocalyptic number.

132220133100 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 132220133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229154275896).

132220133100 is an abundant number, since it is smaller than the sum of its proper divisors (326088418692).

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

132220133100 is a wasteful number, since it uses less digits than its factorization.

132220133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183057 (or 183047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132220133100 its reverse (1331022231), we get a palindrome (133551155331).

The spelling of 132220133100 in words is "one hundred thirty-two billion, two hundred twenty million, one hundred thirty-three thousand, one hundred".