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102202032132 = 22328431336727
BaseRepresentation
bin101111100101110110…
…1110100000000000100
3100202210122011011110100
41133023231310000010
53133302210012012
6114541224124100
710245442640154
oct1371355640004
9322718134410
10102202032132
113a386423472
1217983306630
139839aa3035
144d376aa764
1529d27088dc
hex17cbb74004

102202032132 has 36 divisors (see below), whose sum is σ = 258375435136. Its totient is φ = 34063202160.

The previous prime is 102202032113. The next prime is 102202032139. The reversal of 102202032132 is 231230202201.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (102202032139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135153 + ... + 471879.

Almost surely, 2102202032132 is an apocalyptic number.

102202032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202032132 is an abundant number, since it is smaller than the sum of its proper divisors (156173403004).

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

102202032132 is a wasteful number, since it uses less digits than its factorization.

102202032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345168 (or 345163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202032132 its reverse (231230202201), we get a palindrome (333432234333).

The spelling of 102202032132 in words is "one hundred two billion, two hundred two million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8431 16862 25293 33724 50586 75879 101172 151758 303516 336727 673454 1010181 1346908 2020362 3030543 4040724 6061086 12122172 2838945337 5677890674 8516836011 11355781348 17033672022 25550508033 34067344044 51101016066 102202032132