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132100322032 = 24719127488797
BaseRepresentation
bin111101100000111001…
…0101111001011110000
3110121222022001122210201
41323001302233023300
54131020140301112
6140404104204544
712354366132130
oct1730162571360
9417868048721
10132100322032
1151029208168
1221728169754
13c5c3076133
1465723daac0
153682441257
hex1ec1caf2f0

132100322032 has 80 divisors (see below), whose sum is σ = 310328074240. Its totient is φ = 53212287744.

The previous prime is 132100322023. The next prime is 132100322033. The reversal of 132100322032 is 230223001231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100322033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25858 + ... + 514654.

It is an arithmetic number, because the mean of its divisors is an integer number (3879100928).

Almost surely, 2132100322032 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 132100322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155164037120).

132100322032 is an abundant number, since it is smaller than the sum of its proper divisors (178227752208).

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

132100322032 is a wasteful number, since it uses less digits than its factorization.

132100322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488958 (or 488952 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 132100322032 its reverse (230223001231), we get a palindrome (362323323263).

The spelling of 132100322032 in words is "one hundred thirty-two billion, one hundred million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 127 133 152 254 266 304 508 532 889 1016 1064 1778 2032 2128 2413 3556 4826 7112 9652 14224 16891 19304 33782 38608 67564 135128 270256 488797 977594 1955188 3421579 3910376 6843158 7820752 9287143 13686316 18574286 27372632 37148572 54745264 62077219 65010001 74297144 124154438 130020002 148594288 248308876 260040004 434540533 496617752 520080008 869081066 993235504 1040160016 1179467161 1738162132 2358934322 3476324264 4717868644 6952648528 8256270127 9435737288 16512540254 18871474576 33025080508 66050161016 132100322032