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132141040110 = 23252926771367
BaseRepresentation
bin111101100010000111…
…0000100000111101110
3110122002010200100111200
41323010032010013232
54131111101240420
6140412121030330
712355402210542
oct1730416040756
9418063610450
10132141040110
115104a199272
12217399253a6
13c5cb631781
146577999a22
153685cd5b90
hex1ec43841ee

132141040110 has 288 divisors, whose sum is σ = 367217390592. Its totient is φ = 32952648960.

The previous prime is 132141040067. The next prime is 132141040133. The reversal of 132141040110 is 11040141231.

It is a super-2 number, since 2×1321410401102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360057147 + ... + 360057513.

It is an arithmetic number, because the mean of its divisors is an integer number (1275060384).

Almost surely, 2132141040110 is an apocalyptic number.

132141040110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132141040110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183608695296).

132141040110 is an abundant number, since it is smaller than the sum of its proper divisors (235076350482).

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

132141040110 is a wasteful number, since it uses less digits than its factorization.

132141040110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132141040110 its reverse (11040141231), we get a palindrome (143181181341).

The spelling of 132141040110 in words is "one hundred thirty-two billion, one hundred forty-one million, forty thousand, one hundred ten".