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132132233100 = 22352717232931179
BaseRepresentation
bin111101100001110110…
…0011101111110001100
3110122001112002220120010
41323003230131332030
54131101322424400
6140411204153220
712355234310250
oct1730354357614
9418045086503
10132132233100
115104522344a
1221736998810
13c5c9869c1a
146576746260
153685146450
hex1ec3b1df8c

132132233100 has 1152 divisors, whose sum is σ = 518366822400. Its totient is φ = 25262899200.

The previous prime is 132132233099. The next prime is 132132233119. The reversal of 132132233100 is 1332231231.

It is a super-2 number, since 2×1321322331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 738168811 + ... + 738168989.

It is an arithmetic number, because the mean of its divisors is an integer number (449971200).

Almost surely, 2132132233100 is an apocalyptic number.

132132233100 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 132132233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259183411200).

132132233100 is an abundant number, since it is smaller than the sum of its proper divisors (386234589300).

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

132132233100 is a wasteful number, since it uses less digits than its factorization.

132132233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132132233100 its reverse (1332231231), we get a palindrome (133464464331).

The spelling of 132132233100 in words is "one hundred thirty-two billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred".