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132141101205500 = 22537115126991639
BaseRepresentation
bin11110000010111001111111…
…011001011100011111111100
3122022212120021112200001102222
4132002321333121130133330
5114304444433402034000
61145012441151304512
736555610446522512
oct3602717731343774
9568776245601388
10132141101205500
11391167a97a0142
12129a19b751b138
135896b10891b1a
14248b9406104b2
15104245ecbaa85
hex782e7f65c7fc

132141101205500 has 192 divisors, whose sum is σ = 295697441894400. Its totient is φ = 51573866400000.

The previous prime is 132141101205461. The next prime is 132141101205521. The reversal of 132141101205500 is 5502101141231.

It is a super-2 number, since 2×1321411012055002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141101205500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1441928681 + ... + 1442020319.

It is an arithmetic number, because the mean of its divisors is an integer number (1540090843200).

Almost surely, 2132141101205500 is an apocalyptic number.

132141101205500 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 132141101205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147848720947200).

132141101205500 is an abundant number, since it is smaller than the sum of its proper divisors (163556340688900).

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

132141101205500 is a wasteful number, since it uses less digits than its factorization.

132141101205500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92149 (or 92137 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 132141101205500 its reverse (5502101141231), we get a palindrome (137643202346731).

The spelling of 132141101205500 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred one million, two hundred five thousand, five hundred".