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132311002210200 = 2332521143473306469
BaseRepresentation
bin11110000101011000001110…
…010010010101111110011000
3122100110210211020101100112200
4132011120032102111332120
5114320240413031211300
61145222500231410200
736604103656321602
oct3605301622257630
9570423736340480
10132311002210200
1139181865452710
1212a0a912b23960
1358a9b491677b8
142495c5b078172
151046aa5aae200
hex78560e495f98

132311002210200 has 576 divisors, whose sum is σ = 506566016985600. Its totient is φ = 30662861644800.

The previous prime is 132311002210193. The next prime is 132311002210201. The reversal of 132311002210200 is 2012200113231.

132311002210200 is a `hidden beast` number, since 1 + 3 + 231 + 10 + 0 + 221 + 0 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132311002210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38362566 + ... + 41669034.

It is an arithmetic number, because the mean of its divisors is an integer number (879454890600).

Almost surely, 2132311002210200 is an apocalyptic number.

132311002210200 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 132311002210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253283008492800).

132311002210200 is an abundant number, since it is smaller than the sum of its proper divisors (374255014775400).

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

132311002210200 is a wasteful number, since it uses less digits than its factorization.

132311002210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306592 (or 3306580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132311002210200 its reverse (2012200113231), we get a palindrome (134323202323431).

The spelling of 132311002210200 in words is "one hundred thirty-two trillion, three hundred eleven billion, two million, two hundred ten thousand, two hundred".