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132100230100 = 22522295768569
BaseRepresentation
bin111101100000111001…
…0011000101111010100
3110121222021212222200211
41323001302120233110
54131020124330400
6140404102215204
712354365300116
oct1730162305724
9417867788624
10132100230100
1151029155093
1221728124504
13c5c3043337
1465723b53b6
153682423dba
hex1ec1c98bd4

132100230100 has 36 divisors (see below), whose sum is σ = 287909328700. Its totient is φ = 52609340160.

The previous prime is 132100230061. The next prime is 132100230103. The reversal of 132100230100 is 1032001231.

It can be written as a sum of positive squares in 6 ways, for example, as 3590885776 + 128509344324 = 59924^2 + 358482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100230103) 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 11 ways as a sum of consecutive naturals, for example, 2861385 + ... + 2907184.

Almost surely, 2132100230100 is an apocalyptic number.

132100230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100230100 is an abundant number, since it is smaller than the sum of its proper divisors (155809098600).

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

132100230100 is a wasteful number, since it uses less digits than its factorization.

132100230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768812 (or 5768805 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 132100230100 its reverse (1032001231), we get a palindrome (133132231331).

The spelling of 132100230100 in words is "one hundred thirty-two billion, one hundred million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 5768569 11537138 23074276 28842845 57685690 115371380 144214225 288428450 576856900 1321002301 2642004602 5284009204 6605011505 13210023010 26420046020 33025057525 66050115050 132100230100