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132133102310200 = 235219731524131253
BaseRepresentation
bin11110000010110010100010…
…101000000101001100111000
3122022211210122002100001220111
4132002302202220011030320
5114304332043142411300
61145005035331234104
736555205311163165
oct3602624250051470
9568753562301814
10132133102310200
1139113374607772
12129a0344748934
135896137647794
14248b3c215306c
15104214293c9ba
hex782ca2a05338

132133102310200 has 192 divisors, whose sum is σ = 327840220677600. Its totient is φ = 49380760166400.

The previous prime is 132133102310179. The next prime is 132133102310203. The reversal of 132133102310200 is 2013201331231.

It is a super-2 number, since 2×1321331023102002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133102310203) 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 47 ways as a sum of consecutive naturals, for example, 4227837774 + ... + 4227869026.

Almost surely, 2132133102310200 is an apocalyptic number.

132133102310200 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 132133102310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163920110338800).

132133102310200 is an abundant number, since it is smaller than the sum of its proper divisors (195707118367400).

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

132133102310200 is a wasteful number, since it uses less digits than its factorization.

132133102310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46602 (or 46593 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132133102310200 its reverse (2013201331231), we get a palindrome (134146303641431).

The spelling of 132133102310200 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, one hundred two million, three hundred ten thousand, two hundred".